BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Jorge Lauret (FaMAF - Universidad Nacional de Cordoba CIEM - CONIC
ET Cordoba\, Argentina)
DTSTART:20200521T120000Z
DTEND:20200521T133000Z
DTSTAMP:20260422T225801Z
UID:ICTPmathseminar/1
DESCRIPTION:Title: Finding solitons in differential geometry\nby Jorge Lauret (Fa
MAF - Universidad Nacional de Cordoba CIEM - CONICET Cordoba\, Argentina)
as part of ICTP Math Seminar\n\n\nAbstract\nAbstract: The concept of solit
on provides a useful way to discover elements in a given class of geometri
c structures that are somehow distinguished. Solitons sometimes play the r
ole of "best" structures in the case when the most natural ones are not av
ailable. We aim in this talk to show that this is being very fruitful in t
he study of Riemannian\, Hermitian\, almost-Kähler and G2 structures on m
anifolds\, with a particular strength on Lie groups. We will start discuss
ing and finding solitons in some different contexts\, including matrices\,
polynomials\, plane curves\, Lie group representations (moment maps) and
the variety of Lie algebras.\n
LOCATION:https://researchseminars.org/talk/ICTPmathseminar/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Elizabeth Gasparim (Universidad Catolica del Norte\, Chile)
DTSTART:20200528T120000Z
DTEND:20200528T133000Z
DTSTAMP:20260422T225801Z
UID:ICTPmathseminar/2
DESCRIPTION:Title: Mirror Symmetry from a football point of view\nby Elizabeth Ga
sparim (Universidad Catolica del Norte\, Chile) as part of ICTP Math Semin
ar\n\n\nAbstract\nI will illustrate concepts of mirror symmetry using symp
lectic Lefschetz fibrations and will discuss how deformations of complex s
tructures may affect mirrors.\n\nPlease register in advance for this meeti
ng:\nhttps://zoom.us/meeting/register/tJwrcu6hrjwvGd3rxgA4UpjhJI5Cpd8v-XZs
\nAfter registration\, you will receive a confirmation email containing in
formation about joining the meeting\n
LOCATION:https://researchseminars.org/talk/ICTPmathseminar/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Giovanni Bellettini (ICTP\, Siena University)
DTSTART:20200623T140000Z
DTEND:20200623T150000Z
DTSTAMP:20260422T225801Z
UID:ICTPmathseminar/3
DESCRIPTION:Title: Basic Notions Seminar on mean Curvature Flow of closed Hypersurfac
es\nby Giovanni Bellettini (ICTP\, Siena University) as part of ICTP M
ath Seminar\n\n\nAbstract\nThe seminar will start with the definition of w
hat is mean curvature flow of a closed hypersurface\, illustrated with som
e basic examples. Next\, I will recall the variational nature of the flow
and some of the main well-known results\, such as Grayson theorem for the
evolution of plane curves\, and Huisken convexity preserving theorem. At t
he end of the seminar\, some more advanced topics will be mentioned.\n\nPl
ease register in advance for this meeting:\nhttps://zoom.us/meeting/regist
er/tJIqcuGgrTwqGNJluVb3_MrTApmlpnE_Nw7G\nAfter registering\, you will rece
ive a confirmation email containing information about how to join the meet
ing.\n
LOCATION:https://researchseminars.org/talk/ICTPmathseminar/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Emanuel Carneiro (ICTP)
DTSTART:20200604T130000Z
DTEND:20200604T143000Z
DTSTAMP:20260422T225801Z
UID:ICTPmathseminar/4
DESCRIPTION:Title: Joint ICTP/Rio de Janeiro Webinar on Analysis and PDEs "Certainty
vs. uncertainty"\nby Emanuel Carneiro (ICTP) as part of ICTP Math Semi
nar\n\n\nAbstract\nThese long quarantine times got me thinking a little bi
t about the many different faces the uncertainty principle for the Fourier
transform has. We will discuss briefly a few classical results and slowly
move towards uncharted territories. There will be interesting connections
to number theory and a few other surprises along the way. This is based o
n a recent joint work with Oscar Quesada-Herrera (IMPA - Brazil).\n\nPleas
e register in advance for this meeting:\nhttps://zoom.us/meeting/register/
tJwrcu6hrjwvGd3rxgA4UpjhJI5Cpd8v-XZs \nAfter registration\, you will recei
ve a confirmation email containing information about joining the meeting.\
n
LOCATION:https://researchseminars.org/talk/ICTPmathseminar/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Kai Zheng (School of Mathematical Sciences\, Tongji University\, S
hanghai)
DTSTART:20200611T120000Z
DTEND:20200611T133000Z
DTSTAMP:20260422T225801Z
UID:ICTPmathseminar/5
DESCRIPTION:Title: Math Associates Seminar: Singular cscK metrics\nby Kai Zheng (
School of Mathematical Sciences\, Tongji University\, Shanghai) as part of
ICTP Math Seminar\n\n\nAbstract\nWe will discuss singular constant scalar
curvature Kaehler\n(cscK) metrics\, which may have cone singularities and
/or degenerate\nsomewhere. They appear naturally in several geometric prob
lems. In this\ntalk\, we will reminisce a little about the past developmen
t around\nsingular metrics\, and then proceed to recent progress on existe
nce of\nsingular cscK metrics.\n\nPlease register in advance for this meet
ing: https://zoom.us/meeting/register/tJwrcu6hrjwvGd3rxgA4UpjhJI5Cpd8v-XZs
\nAfter registration\, you will receive a confirmation email containing i
nformation about joining the meeting.\n
LOCATION:https://researchseminars.org/talk/ICTPmathseminar/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Khadim War (IMPA/University of Chicago)
DTSTART:20200702T120000Z
DTEND:20200702T130000Z
DTSTAMP:20260422T225801Z
UID:ICTPmathseminar/6
DESCRIPTION:Title: Math Associates Seminar: Closed geodesics on surfaces without conj
ugate points\nby Khadim War (IMPA/University of Chicago) as part of IC
TP Math Seminar\n\n\nAbstract\nAbstract: We obtain Margulis-type asymptoti
c estimates for the number of free homotopy classes of closed geodesics on
certain manifolds without conjugate points. Our results cover all compact
surfaces of genus at least 2 without conjugate points. This is based on a
join work with Vaughn Climenhaga and Gerhard Knieper.\n\nPlease register
in advance for this meeting:\nhttps://zoom.us/meeting/register/tJwrcu6hrjw
vGd3rxgA4UpjhJI5Cpd8v-XZs \nAfter registration\, you will receive a confir
mation email containing information about joining the meeting.\n
LOCATION:https://researchseminars.org/talk/ICTPmathseminar/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Dominic Veconi (Penn State University)
DTSTART:20200630T140000Z
DTEND:20200630T150000Z
DTSTAMP:20260422T225801Z
UID:ICTPmathseminar/7
DESCRIPTION:Title: Ergodic and thermodynamic properties of pseudo-Anosov diffeomorphi
sms\nby Dominic Veconi (Penn State University) as part of ICTP Math Se
minar\n\n\nAbstract\nAbstract: We discuss the thermodynamic and ergodic pr
operties of a smooth realization of pseudo-Anosov surface homeomorphisms.
In this realization\, pseudo-Anosov map is uniformly hyperbolic outside of
a neighborhood of a set of singularities\, and the trajectories are slowe
d down so the differential is the identity at the singularities. Using You
ng towers\, we prove existence and uniqueness of equilibrium measures for
geometric $t$-potentials. This family of equilibrium measures includes a u
nique smooth SRB measure and a measure of maximal entropy\, the latter of
which has exponential decay of correlations and the Central Limit Theorem.
\n\nPlease register in advance for this meeting:\nhttps://zoom.us/meeting/
register/tJYkcu6rqz4tHtQO-cRBsFcrqad-WevSbC69\n
LOCATION:https://researchseminars.org/talk/ICTPmathseminar/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Camilo Arias Abad (Universidad Nacional de Colombia en Medellín)
DTSTART:20200625T120000Z
DTEND:20200625T133000Z
DTSTAMP:20260422T225801Z
UID:ICTPmathseminar/8
DESCRIPTION:Title: Math Associates Seminar: Singular chains on Lie groups and the Car
tan relations\nby Camilo Arias Abad (Universidad Nacional de Colombia
en Medellín) as part of ICTP Math Seminar\n\n\nAbstract\nAbstract: Let G
be a simply connected lie group. We denote by C(G) the differential graded
Hopf algebra of smooth singular chains on G. We will explain how the cate
gory of representations of C(G) can be described infinitesimally in terms
of representations of the differential graded Lie algebra Tg\, which is un
iversal for the Cartan relations. We will also explain how this correspond
ence is related to Chern-Weil theory and higher local systems on the class
ifying space BG. \nThis talk is based on joint work with Alexander Quinter
o Vélez.\n\nPlease register in advance for this meeting: https://zoom.us/
meeting/register/tJwrcu6hrjwvGd3rxgA4UpjhJI5Cpd8v-XZs \nAfter registration
\, you will receive a confirmation email containing information about join
ing the meeting.\n
LOCATION:https://researchseminars.org/talk/ICTPmathseminar/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Carolina Araujo (IMPA)
DTSTART:20200618T120000Z
DTEND:20200618T133000Z
DTSTAMP:20260422T225801Z
UID:ICTPmathseminar/9
DESCRIPTION:Title: Math Associates seminar: Symmetries in Algebraic Geometry and the
Cremona Group\nby Carolina Araujo (IMPA) as part of ICTP Math Seminar\
n\n\nAbstract\nIn this talk I will discuss symmetries of complex algebraic
varieties. When studying a projective variety $X$\, one usually wants to
understand its symmetries. Conversely\, the structure of the group of auto
morphisms of $X$ encodes relevant geometric properties of $X$. After descr
ibing some examples of automorphism groups of projective varieties\, I wil
l discuss why the notion of automorphism is too rigid in the scope of bira
tional geometry. We are then led to consider another class of symmetries o
f $X$\, its birational self-maps. The group of birational self-maps of the
projective space $\\mathbb{P}^n$ is known as the Cremona group in dimensi
on $n$. Describing the structure of the Cremona group is a major problem i
n algebraic geometry. While the theory is well developed in dimension $2$\
, little is known in dimension $\\geq 3$\, and a natural problem is to con
struct special subgroups of the Cremona group. I will present a recent wor
k with Alessio Corti and Alex Massarenti\, where we investigate subgroups
of the Cremona group consisting of symmetries preserving some special mero
morphic volume forms.\n\nPlease register in advance for this meeting:\nhtt
ps://zoom.us/meeting/register/tJwrcu6hrjwvGd3rxgA4UpjhJI5Cpd8v-XZs \nAfter
registration\, you will receive a confirmation email containing informati
on about joining the meeting.\n
LOCATION:https://researchseminars.org/talk/ICTPmathseminar/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alicia Dickenstein (UBA\, Argentina)
DTSTART:20200723T120000Z
DTEND:20200723T130000Z
DTSTAMP:20260422T225801Z
UID:ICTPmathseminar/10
DESCRIPTION:Title: Math Associates Seminar "Positive solutions of sparse polynomial
systems"\nby Alicia Dickenstein (UBA\, Argentina) as part of ICTP Math
Seminar\n\n\nAbstract\nI will discuss (known and unknown) lower and upper
bounds for the number of positive solutions of systems of n sparse polyno
mials in n variables.\n\nPlease register in advance for this meeting:\nhtt
ps://zoom.us/meeting/register/tJctf-qhpj4jHNa323WjE45SVMzgyiCoJcb4\nAfter
registration\, you will receive a confirmation email containing informatio
n about joining the meeting.\n
LOCATION:https://researchseminars.org/talk/ICTPmathseminar/10/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jorge Antezana (Universidad Nacional De La Plata)
DTSTART:20200709T130000Z
DTEND:20200709T140000Z
DTSTAMP:20260422T225801Z
UID:ICTPmathseminar/11
DESCRIPTION:Title: Math Associates Seminar: Sampling\, tilings\, and quasicrystals\nby Jorge Antezana (Universidad Nacional De La Plata) as part of ICTP M
ath Seminar\n\n\nAbstract\nIn the first part of this talk we will explore
the connections between the classical sampling theorem in Paley Wiener spa
ces and the tiling properties of the corresponding spectra. More precisely
\, we will discuss the connections with the Fuglede's theorem and the Fugl
ede's conjecture. In the second part\, we will talk about the role of the
model sets in sampling problems. The model sets were introduced by Meyer
to study approximation of algebraic characters by continuous ones in local
ly compact abelian groups. After the discovery of quasicrystals by Shechtm
an in the eighties\, the model sets became an important tool to describe t
he diffraction patterns of these new materials.\n\nPlease register in adva
nce for this meeting:\nhttps://zoom.us/meeting/register/tJwrcu6hrjwvGd3rxg
A4UpjhJI5Cpd8v-XZs\nAfter registration\, you will receive a confirmation e
mail containing information about joining the meeting.\n
LOCATION:https://researchseminars.org/talk/ICTPmathseminar/11/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Lothar Goettsche (ICTP)
DTSTART:20200715T140000Z
DTEND:20200715T150000Z
DTSTAMP:20260422T225801Z
UID:ICTPmathseminar/12
DESCRIPTION:Title: Basic Notions Seminar on Tropical Geometry\nby Lothar Goettsc
he (ICTP) as part of ICTP Math Seminar\n\n\nAbstract\nAbstract: \nTropical
Geometry is said to be the combinatorial shadow of algebraic geometry\, w
here algebraic varieties are replaced by combinatorial objects\, whose com
binatorial properties reflect the geometric properties of algebraic variet
ies.\nIn this talk we intend to give an elementary introduction\, with emp
hasis on plane tropical curves which are piecewise linear graphs on the th
e real plane\, with applications in enumerative geometry of curves.\n\nPle
ase register in advance for this meeting: https://zoom.us/meeting/register
/tJctduurpzktH9zpfrBLZX5TFSMMu3ht2T0R*\nAfter registration\, you will rece
ive a confirmation email containing information about how to join the meet
ing.\n
LOCATION:https://researchseminars.org/talk/ICTPmathseminar/12/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ivaldo Nunes (Universidade Federal do Maranhão)
DTSTART:20200716T120000Z
DTEND:20200716T130000Z
DTSTAMP:20260422T225801Z
UID:ICTPmathseminar/13
DESCRIPTION:Title: Math Associates Seminar: Characterization of free boundary CMC su
rfaces in the ball\nby Ivaldo Nunes (Universidade Federal do Maranhão
) as part of ICTP Math Seminar\n\n\nAbstract\nIn the first part of this le
cture\, we talk about compact stable CMC surfaces with free boundary in co
mpact convex domains of the Euclidean three-space. We prove that every com
pact stable CMC surface with free boundary in a convex domain with boundar
y geometry sufficiently close to the round two-sphere is topologically a d
isk or an annulus. This fact\, together with a previous one due to Ros and
Vergasta\, implies a complete classification of these surfaces in the uni
t Euclidean three-ball. In the last part of the lecture\, we deal with a c
haracterization of the equatorial disk and the critical catenoid in the un
it Euclidean three-ball based on a pinching condition involving its second
fundamental form and support function. This last part is a joint work wit
h Lucas Ambrozio.\n\nPlease register in advance for this meeting:\nhttps:/
/zoom.us/meeting/register/tJwrcu6hrjwvGd3rxgA4UpjhJI5Cpd8v-XZs\nAfter regi
stration\, you will receive a confirmation email containing information ab
out joining the meeting\n
LOCATION:https://researchseminars.org/talk/ICTPmathseminar/13/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Luna Lomonaco (IMPA\, Brazil)
DTSTART:20200730T140000Z
DTEND:20200730T150000Z
DTSTAMP:20260422T225801Z
UID:ICTPmathseminar/14
DESCRIPTION:Title: Math Associates Seminar: Mating quadratic maps with the modular g
roup\nby Luna Lomonaco (IMPA\, Brazil) as part of ICTP Math Seminar\n\
n\nAbstract\nHolomorphic correspondences are polynomial relations P(z\,w)=
0\, which can\nbe regarded as multi-valued self-maps of the Riemann sphere
(implicit maps\nsending z to w). The iteration of such multi-valued map ge
nerates a\ndynamical system on the Riemann sphere (dynamical system which
generalise\nrational maps and finitely generated Kleinian groups). We cons
ider a\nspecific 1-(complex)parameter family of (2:2) correspondences F_a\
n(introduced by S. Bullett and C. Penrose in 1994)\, which we describe\ndy
namically. In particular\, we show that for every a in the connectedness\n
locus M_{\\Gamma}\, this family is a mating between the modular group and\
nrational maps in the family Per_1(1)\, and we develop for this family a\n
complete dynamical theory which parallels the Douady-Hubbard theory of\nqu
adratic polynomials. This is joint work with S. Bullett.\n\nPlease registe
r in advance for this meeting:\nhttps://zoom.us/meeting/register/tJwrcu6hr
jwvGd3rxgA4UpjhJI5Cpd8v-XZs\nAfter registration\, you will receive a confi
rmation email containing information about joining the meeting.\n
LOCATION:https://researchseminars.org/talk/ICTPmathseminar/14/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ariel Martin Pacetti (Cordoba/CONICET)
DTSTART:20200806T120000Z
DTEND:20200806T130000Z
DTSTAMP:20260422T225801Z
UID:ICTPmathseminar/15
DESCRIPTION:Title: Math Associates Seminar: Modularity of some geometric objects: de
finitions\, reasons and state of the art\nby Ariel Martin Pacetti (Cor
doba/CONICET) as part of ICTP Math Seminar\n\n\nAbstract\nIn this talk we
will recall the definition of the zeta function and the L-function of some
geometric objects (with special emphasis on plane projective curves). We
will state their expected properties and their conjectural relation with s
ome analytic functions. At last\, we will explain the third central object
(namely Galois representations) and the role it plays in the previous cor
respondence.\n\nRegister in advance for this meeting:\nhttps://zoom.us/mee
ting/register/tJwrcu6hrjwvGd3rxgA4UpjhJI5Cpd8v-XZs\nAfter registering\, yo
u will receive a confirmation email containing information about joining t
he meeting\n
LOCATION:https://researchseminars.org/talk/ICTPmathseminar/15/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Nigel Hitchin (University of Oxford)
DTSTART:20200828T080000Z
DTEND:20200828T100000Z
DTSTAMP:20260422T225801Z
UID:ICTPmathseminar/16
DESCRIPTION:Title: ICTP Mathematics Webinar Colloquium on "Generalizations of Teichm
üller space"\nby Nigel Hitchin (University of Oxford) as part of ICTP
Math Seminar\n\n\nAbstract\nThe famous theorem of Narasimhan and Seshadri
showed that the moduli space of representations of the fundamental group
of a surface into a unitary group could be described holomorphically in te
rms of stable vector bundles on an algebraic curve. The theory of Higgs bu
ndles extended this idea to noncompact groups and in particular to real fo
rms like SL(n\,R) and in this case there is a component which is described
as a space of holomorphic differentials on the curve. The special case n=
2 gives classical Teichmüller space. The talk concerns approaches to the
case of SL(n\,R) where n=∞\, interpreted as the group of Hamiltonian dif
feomorphisms of the cotangent bundle of the circle and leads to differenti
al geometric questions about geodesics on surfaces.\n\n"on the occasion of
the presentation of the Spirit of Salam Prize to\nM.S. Narasimhan"\n\nPro
gramme:\n\n10.00 Welcome and remarks by the ICTP Director\; \n10.05 Remin
iscences by colleagues\, students and friends\; \n11.00 Mathematics Collo
quium by Nigel Hitchin (Oxford).\n\nPlease register in advance for this we
binar:\nhttps://zoom.us/webinar/register/WN_FS20kYEVTrKrq9bKiVNqAQ\nAfter
registering\, you will receive a confirmation email containing information
about joining the webinar. Should you not be able to join the Webinar\, t
he Colloquium is also available in live streaming at: https://www.youtube.
com/watch?v=sTx7wLooF8E&feature=youtu.be\n
LOCATION:https://researchseminars.org/talk/ICTPmathseminar/16/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Vamsi Pritham Pingali (IISc\, India)
DTSTART:20200924T120000Z
DTEND:20200924T130000Z
DTSTAMP:20260422T225801Z
UID:ICTPmathseminar/17
DESCRIPTION:Title: Math Associates Seminars: Numerical Criteria for the Solvability
of Generalised Monge-Ampere Equations on Projective Manifolds\nby Vams
i Pritham Pingali (IISc\, India) as part of ICTP Math Seminar\n\n\nAbstrac
t\nGeneralised Monge-Ampere equations are a family of PDE that contain inv
erse Hessian equations like the J-equation\, and special cases of the defo
rmed Hermitian-Yang-Mills equation. I shall describe a couple of results a
bout them. Firstly\, these equations can be solved on projective\nmanifold
s if and only if Nakai-Moizeshon / Demailly-Paun-style intersection number
s are positive. This result improves a recent theorem of Gao Chen (who ass
umed uniform strict-positivity)\, and settles a conjecture of Lejmi-Szkely
hidi in the projective case. Secondly\, assuming uniform strict-positivity
\, an equivariant version of the same result holds. Thus\, earlier results
due to Collins-Szekelyhidi are recovered. \nThis work is joint with Ved D
atar.\n\nRegister in advance for this meeting:\nhttps://zoom.us/meeting/re
gister/tJMpf-yoqDkoGtfqr-J--H4Ql7R-eF8hQDbM \n\nAfter registering\, you wi
ll receive a confirmation email containing information about joining the m
eeting.\n
LOCATION:https://researchseminars.org/talk/ICTPmathseminar/17/
END:VEVENT
BEGIN:VEVENT
SUMMARY:José Cisneros-Molina (UNAM\, Mexico)
DTSTART:20201008T140000Z
DTEND:20201008T150000Z
DTSTAMP:20260422T225801Z
UID:ICTPmathseminar/18
DESCRIPTION:Title: Math Associates Seminars: Exotic Spheres and Singularities\nb
y José Cisneros-Molina (UNAM\, Mexico) as part of ICTP Math Seminar\n\n\n
Abstract\nMilnor's fibration theorem is a landmark in singularity theory\,
it allows to deepen the study of the geometry and topology of analytic ma
ps near their critical points. To each singular point of a complex hypersu
rface it associates a fibre bundle\, known as the Milnor Fibration of the
singularity.\nThe birth of Milnor's Fibration Theorem is a curious story\,
since its origin is not in Singularity Theory. It begins with the discove
ry by Milnor in 1956 of the first "exotic spheres": smooth 7-manifolds ho
meomorphic to the standard 7-sphere\, but with non-equivalent differentiab
le structures. Later\, work of some great mathematicians like Brieskorn\,
Jänich\, Hirzebruch and Pham\, led to the discovery of some examples of c
omplex hypersurface singularities whose\nlinks are exotic spheres.\nThis m
otivated Milnor to determine when the link of a complex hyper surface sing
ularity is a homotopy sphere\, culminating in his now famous book "Singula
r points of complex hypersurfaces". One of the main results in this book i
s precisely Milnor's Fibration Theorem.\nThe aim of this non-technical tal
k is to tell this interesting story.\n\nPlease register in advance for thi
s meeting:\nhttps://zoom.us/meeting/register/tJwrcuuhqzspHtRXp1wiLbmEYk_Ey
WTBKbRm \n\nAfter registering\, you will receive a confirmation email cont
aining information about joining the meeting.\n
LOCATION:https://researchseminars.org/talk/ICTPmathseminar/18/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jyotshana Prajapat (University of Mumbai)
DTSTART:20201112T130000Z
DTEND:20201112T140000Z
DTSTAMP:20260422T225801Z
UID:ICTPmathseminar/19
DESCRIPTION:Title: Math Associates Seminars: Reaction diffusion equations on evolvin
g domains: regularity and global existence\nby Jyotshana Prajapat (Uni
versity of Mumbai) as part of ICTP Math Seminar\n\n\nAbstract\nThe abstrac
t for this talk is not available.\n\nPlease register in advance for this m
eeting:\nhttps://zoom.us/meeting/register/tJArdu6trjosH9dJ_bigMnqq9TwkMX3B
P5g7 \nAfter registering\, you will receive a confirmation email containin
g information about joining the meeting.\n
LOCATION:https://researchseminars.org/talk/ICTPmathseminar/19/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Cecília Salgado (UFRJ)
DTSTART:20201119T130000Z
DTEND:20201119T140000Z
DTSTAMP:20260422T225801Z
UID:ICTPmathseminar/20
DESCRIPTION:Title: Math Associates Seminars: Mordell Weil rank jumps and the Hilbert
property\nby Cecília Salgado (UFRJ) as part of ICTP Math Seminar\n\n
\nAbstract\nIn this talk I will discuss recent progress around the variati
on of the Mordell-Weil rank in families of elliptic curves. The first part
will be dedicated to give a thorough introduction to the theme\, by motiv
ating and discussing the state of the art. The second part will be dedicat
ed to presenting a recent work joint with Dan Loughran (Bath).\nMore preci
sely\, let X be surface endowed with a (non-constant) elliptic fibration w
ith a section defined over a number field. Specialization theorems by Nér
on and Silverman imply that the rank of the Mordell-Weil group of special
fibers is at least equal to the MW rank of the generic fiber. We say that
the rank jumps when the former is strictly larger than\nthe latter. I wil
l discuss rank jumps for elliptic surfaces fibred over the projective line
. If the surface admits a conic bundle we show that the subset of the line
for which the rank jumps is not thin in the sense of Serre.\n\nPlease reg
ister in advance for this meeting:\nhttps://zoom.us/meeting/register/tJUuf
--hqjwiGda-rN1XT0HXf6w7-u3UfGJJ \n\nAfter registering\, you will receive a
confirmation email containing information about joining the meeting.\n
LOCATION:https://researchseminars.org/talk/ICTPmathseminar/20/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Khadim War (IMPA)
DTSTART:20201201T150000Z
DTEND:20201201T160000Z
DTSTAMP:20260422T225801Z
UID:ICTPmathseminar/21
DESCRIPTION:Title: LECTURE SERIES on Dynamics of the Geodesic Flow on Surfaces Witho
ut Conjugate Points - Lecture 1: Geometry of Surfaces Without Conjugate Po
ints\nby Khadim War (IMPA) as part of ICTP Math Seminar\n\n\nAbstract\
nThis lecture focuses on the general geometric aspect of surfaces without
conjugate points. This includes properties of such surfaces and definition
of the ideal boundary of the universal cover. We will also define the geo
desic flow in this lecture.\n\nKindly register in advance for these meetin
gs (you only have to register once to attend all events): https://zoom.us/
meeting/register/tJ0sd-igqjouE917PnJKgmidMHmi3lDa58se\nAfter registering\,
you will receive a confirmation email containing information about joinin
g the meeting\n\nLecture 1 is to be considered as part of the ICTP Math As
sociates Seminars Series\, being targeted to a more general audience.\n
LOCATION:https://researchseminars.org/talk/ICTPmathseminar/21/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Khadim War (IMPA)
DTSTART:20201203T150000Z
DTEND:20201203T160000Z
DTSTAMP:20260422T225801Z
UID:ICTPmathseminar/22
DESCRIPTION:Title: LECTURE SERIES on Dynamics of the Geodesic Flow on Surfaces Witho
ut Conjugate Points - Lecture 2: Measure of Maximal Entropy Via Patterson-
Sullivan Measures\nby Khadim War (IMPA) as part of ICTP Math Seminar\n
\n\nAbstract\nThis lecture focuses more on the dynamical aspect of the geo
desic flow. We will define the measure of maximal entropy and give its con
struction via the Patterson-Sullivan measures on the ideal boundary.\n\nKi
ndly register in advance for these meetings (you only have to register onc
e to attend all events): https://zoom.us/meeting/register/tJ0sd-igqjouE917
PnJKgmidMHmi3lDa58se\nAfter registering\, you will receive a confirmation
email containing information about joining the meeting.\n\nThis Lecture is
to be considered as part of the ICTP Math Associates Seminars Series\, be
ing targeted to a more general audience.\n
LOCATION:https://researchseminars.org/talk/ICTPmathseminar/22/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Khadim War (IMPA)
DTSTART:20201208T150000Z
DTEND:20201208T160000Z
DTSTAMP:20260422T225801Z
UID:ICTPmathseminar/23
DESCRIPTION:Title: LECTURE SERIES on Dynamics of the Geodesic Flow on Surfaces Witho
ut Conjugate Points - Lecture 3: Some Statistical Properties of the Geodes
ic Flow\nby Khadim War (IMPA) as part of ICTP Math Seminar\n\n\nAbstra
ct\nIn this lecture we will prove that the measure of maximal entropy cons
tructed above is unique and therefore ergodic. We will also prove that the
geodesic flow is mixing with respect to the measure of maximal entropy.\n
\nKindly register in advance for these meetings (you only have to register
once to attend all events): https://zoom.us/meeting/register/tJ0sd-igqjou
E917PnJKgmidMHmi3lDa58se\nAfter registering\, you will receive a confirmat
ion email containing information about joining the meeting.\n
LOCATION:https://researchseminars.org/talk/ICTPmathseminar/23/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Khadim War (IMPA)
DTSTART:20201210T130000Z
DTEND:20201210T150000Z
DTSTAMP:20260422T225801Z
UID:ICTPmathseminar/24
DESCRIPTION:Title: LECTURE SERIES on Dynamics of the Geodesic Flow on Surfaces Witho
ut Conjugate Points - Lectures 4 and 5: Counting the Closed Geodesics\
nby Khadim War (IMPA) as part of ICTP Math Seminar\n\n\nAbstract\nIn these
two lectures we prove a Margulis-type asymptotic estimate for the number
of free homotopy classes of closed geodesics. This can be seen as the prim
e geodesic theorem in this setting of surfaces without conjugate points.\n
\nKindly register in advance for these meetings (you only have to register
once to attend all events): https://zoom.us/meeting/register/tJ0sd-igqjou
E917PnJKgmidMHmi3lDa58se\nAfter registering\, you will receive a confirmat
ion email containing information about joining the meeting.\n\nKindly note
new starting time: 14:00 CET\n
LOCATION:https://researchseminars.org/talk/ICTPmathseminar/24/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Lars Sektnan (Aarhus University)
DTSTART:20210129T130000Z
DTEND:20210129T140000Z
DTSTAMP:20260422T225801Z
UID:ICTPmathseminar/27
DESCRIPTION:Title: ICTP/SISSA Math Seminar on Kähler Geometry - Optimal Symplectic
Connections and Stability of Fibrations\nby Lars Sektnan (Aarhus Unive
rsity) as part of ICTP Math Seminar\n\n\nAbstract\nIn this talk I will dis
cuss the notions of an optimal symplectic connection and stability of fibr
ations. The former is a PDE for a canonical choice of fibrewise constant s
calar curvature Kähler (cscK) metric\, for a fibration whose fibres admit
cscK metrics. The latter is a notion of algebro-geometric stability for s
uch fibrations.\nThe goal of the talk is to explain what these notions are
\, partly in preparation for Michael Hallam's talk the following week. I a
im to explain how the notions arose\, and how they specialise to the Hermi
te-Einstein equation and slope stability\, respectively\, for the underlyi
ng vector bundle\, when the fibration is the projectivisation of a vector
bundle. I will survey some of the results known about these notions\, and
how they are related. \nThis is joint work with Ruadhaí Dervan.\n\nPlease
register in advance for this meeting:\nhttps://zoom.us/meeting/register/t
J0ucuypqjorG9DEWT_unX9mtbmwHXtsw5b7 \n\nAfter registering\, you will recei
ve a confirmation email containing information about joining the meeting.\
n
LOCATION:https://researchseminars.org/talk/ICTPmathseminar/27/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Michael Hallam (Oxford University)
DTSTART:20210205T130000Z
DTEND:20210205T140000Z
DTSTAMP:20260422T225801Z
UID:ICTPmathseminar/28
DESCRIPTION:Title: ICTP/SISSA Math Seminar on Kähler Geometry - Stability of Fibrat
ions through Geodesic Analysis\nby Michael Hallam (Oxford University)
as part of ICTP Math Seminar\n\n\nAbstract\nFollowing Lars Sektnan's talk
on optimal symplectic connections and stability of fibrations\, I will pre
sent new work in this area. The main result is that a fibration admitting
an optimal symplectic connection is polystable with respect to a certain l
arge class of fibration degenerations\, which builds on a previous result
obtained by Dervan and Sektnan. To prove this\, we analyse geodesics in th
e space of all fibrewise cscK (constant scalar curvature Kähler) metrics\
, and show that a natural log-norm functional on this space is convex alon
g geodesics. Along the way\, we use the tools developed to give a new and
illuminating proof that optimal symplectic connections are unique up to au
tomorphisms within a fixe relatively Kähler class (another result due to
Dervan and Sektnan). \nThis work is for my PhD thesis\, supervised by Ruad
haí Dervan and Frances Kirwan.\n\nPlease register in advance for this mee
ting:\nhttps://zoom.us/meeting/register/tJ0ldOihrjgoGdDgehJGX_7Q6ttuP8VSNC
RB \n\nAfter registering\, you will receive a confirmation email containin
g information about joining the meeting.\n
LOCATION:https://researchseminars.org/talk/ICTPmathseminar/28/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Quoc Anh Ngo (Vietnam National University)
DTSTART:20210211T140000Z
DTEND:20210211T150000Z
DTSTAMP:20260422T225801Z
UID:ICTPmathseminar/29
DESCRIPTION:Title: Math Associates Seminar: Bubbling of Q-Curvature Equation on 4-Ma
nifolds in the null Case\nby Quoc Anh Ngo (Vietnam National University
) as part of ICTP Math Seminar\n\n\nAbstract\nOn a closed 4-manifold\, giv
en a smooth non-trivial function f\, the prescribing Q-curvature equation
in the null case asks to solve Pu =fe^{4u} for u\, where P is the Paneitz
operator. A necessary condition for the existence of a solution to the equ
ation is that f is sign-changing\; and it is well-known that this equation
always admits at least one solution if\, in addition\, the total integral
of f is negative. As an immediate consequence\, if we let f be sign-chang
ing and f ≤\; ε\; for sufficiently small ε\;\, then it turns
out that a solution exists.\nIn this talk\, I will present some results o
n the behavior of solutions to the equation if we let ε\; go to zero.\
nThis is joint work with Hong Zhang (SCNU\, China).\n\nPlease register in
advance for this meeting: https://zoom.us/meeting/register/tJEvceyqqjgjH9J
ply9iJ0AHFcaPiF5Manv- \nAfter registering\, you will receive a confirmati
on email containing information about joining the meeting.\n
LOCATION:https://researchseminars.org/talk/ICTPmathseminar/29/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Leandro de Freitas Pessoa (UFPI) (UFPI)
DTSTART:20210218T130000Z
DTEND:20210218T140000Z
DTSTAMP:20260422T225801Z
UID:ICTPmathseminar/30
DESCRIPTION:Title: Math Associates Seminar: Detecting the Completeness of a Finsler
Manifold via potential Theory for its Infinity Laplacian\nby Leandro d
e Freitas Pessoa (UFPI) (UFPI) as part of ICTP Math Seminar\n\n\nAbstract\
nIn this talk we will present some potential-theoretic aspects of the eiko
nal and infinity Laplace operator on a Finsler manifold M. Our main result
shows that the forward completeness of M can be detected in terms of Liou
ville properties and maximum principles at infinity for subsolutions of su
itable inhomogeneous inequalities. Also\, an ∞\;-capacity criterion a
nd a viscosity version of Ekeland principle are proved to be equivalent to
the forward completeness of M. Part of the proof hinges on a new boundary
-to-interior Lipschitz estimate for solutions of an inhomogeneous equation
for the infinity Laplacian on compact sets\, that implies a uniform Lipsc
hitz estimate for certain entire\, bounded solutions without requiring the
completeness of M.\nJoint work with Damião J. Araújo\, Luciano Mari.\n\
nRegister in advance for this meeting:\nhttps://zoom.us/meeting/register/t
JEofumvpzIiEtEhIVjOZtFbunjZOcsg-_bP \n \nAfter registering\, you will rece
ive a confirmation email containing information about joining the meeting.
\n
LOCATION:https://researchseminars.org/talk/ICTPmathseminar/30/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Abdellaziz Harrabi (ISMAI)
DTSTART:20210304T130000Z
DTEND:20210304T140000Z
DTSTAMP:20260422T225801Z
UID:ICTPmathseminar/31
DESCRIPTION:Title: Math Associates Seminar: Interpolation Inequality. Explicit unive
rsal Estimate of finite Morse Index Solutions to polyharmonic Equation.\nby Abdellaziz Harrabi (ISMAI) as part of ICTP Math Seminar\n\n\nAbstrac
t\nLet Ω be a domain of ${\\mathbb R}^n\,\\\;n\\geq 2$\,\n$u \\in W^{r\,
p}_{loc}(Ω)$ with $r\,\\\;p\\geq 2$. We establish interpolation inequali
ty estimating $\\displaystyle\\int_{\\Omega} |\\nabla^q u|^p|\\nabla^{r-q}
(\\psi)|^p$\n where $\\psi$ is a ''general'' cut-off function and $1\\leq
q\\leq r-1$. When\n$p=2$\, we explore this inequality to provide an\nexpl
icit universal estimate of finite Morse index\nsolutions to\n\n$$(-\\Delta
)^r u= f(x\,u)\, \\\,\\\, \\text{in} \\\,\\\, \\Omega.$$\n\nDifferently to
[1\, 2\, 3\, 4\, 6\, 7\, 8\, 10]\, We did not\nuse a blow-up procedure an
d Liouville-type theorem which requires that\n$f(x\,u)$ has an asymptotica
l behavior at infinity like $|u|^{q-1}u$ . We\npropose here a direct proof
under a large superlinear and subcritical\ngrowth conditions on $f$ using
a variant of the Pohozaev identity and a\ndelicate boot strap argument fr
om local $L^p$-$W^{2r\,p}$ estimate.\nParticularly\, we show that the univ
ersal constant (which does not depend\non $\\Omega$) evolves as a polynomi
al function of the Morse index.\n\nAlso by virtue of our interpolation ine
quality\, we extended and improved\nthe integral estimate obtained in [6]\
, to provide nonexistence results\nin the subcritical range of stable and
stable at infinity weak solutions\nto the following $p$-polyharmonic equat
ion\n\n$$\\Delta_{p}^r u =|u|^{q-1}u \\\,\\\, \\text{ in } \\\,\\\, {\\mat
hbb R}^n\,\\\,\\\, \\text{ where }\\\,\\\, r \\geq 2\,\\\; p\\geq 2 \\\,\\
\, \\text{ and }\\\,\\\, n> rp.$$\n\nPrecisely we removed the exponential
growth condition $U_1$ imposed on\nunbounded sable solutions in [6]. At l
ast\, we revised previous local\n$L^p$-$W^{2r\,p}$ estimate stated in [5\,
9].\n\n\nReferences\n\n[1] A.Bahri and P.L.Lions\, Solutions of superline
ar elliptic equations and\ntheir Morse indices. Comm. Pure Appl. Math. 45
(1992)\, 1205-1215.\n\n[2] J. Dávila\, L. Dupaigne and A.Farina\, Partial
regularity of finite Morse\nindex solutions to the Lane-Emden equation\,
J. Funct. Anal. 261\n(2011)\, 218-232.\n\n[3] A. Farina\, On the classifi
cation of solutions of the Lane–Emden\nequation on unbounded domains of
${\\mathbb R}^N$\, J. Math. Pures Appl.\n87 (2007)\, 537–561.\n\n[4] B.
Gidas and J. Spruck \, A priori bounds for positive solutions of\nnonline
ar elliptic equations\, Comm. Partial Differential Equations.\n6 (1981)\,
883-901.\\\n\n[5] F. Gazzola\, H. Christoph Grunau\, G. Sweers\, Polyharm
onic Boundary Value\nProblems\, Lecture Notes in Mathematics\, vol.1991\,
Springer\, 2010.\n\n[6] A. Harrabi\, High-order Bahri-Lions Liouville typ
e theorems\, Annali di\nMatematica Pura ed Applicata. 198 (2019)\, 1675–
1692.\n\n[7] A. Harrabi and B. Rahal\, On the sixth-order Joseph-Lundgren
exponent\,\nAnn. Henri Poincaré. 18 (2017)\, 1055-1094.\n\n[8] P. Polá
cik\, P. Quittner and P. Souplet\, Singularity and decay estimates\nin sup
erlinear problems via Liouville-type theorems. I. Elliptic\nequations and
systems\, Duke Math. J. 139 (3) (2007)\, 555-579. \n\n[9] W. Reichel and
T. weth\, A priori bounds and a Liouville theorem on a half\nspace for hig
her-order elliptic Dirichlet problems\, Math. Z. 261\n(2009)\, 805-827.\n\
n[10] J. Wei and D. Ye\, Liouville Theorems for stable solutions of bihar
monic\nproblem\, Math\, Ann. 356 (4) (2013)\, 1599-1612.\n\nPlease registe
r in advance for this meeting:\nhttps://zoom.us/meeting/register/tJUqdOipq
z4oHdJjS_oe8mjsP_IBdnMlmuOk \n\nAfter registering\, you will receive a con
firmation email containing information about joining the meeting.\n
LOCATION:https://researchseminars.org/talk/ICTPmathseminar/31/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Emanuel Carneiro (ICTP)
DTSTART:20210303T130000Z
DTEND:20210303T140000Z
DTSTAMP:20260422T225801Z
UID:ICTPmathseminar/32
DESCRIPTION:Title: Basic Notions Seminar on Fourier Optimization and Number Theory\nby Emanuel Carneiro (ICTP) as part of ICTP Math Seminar\n\n\nAbstract\
nThis is a talk about a few problems in the interface of harmonic analysis
and analytic number theory\, some of them having the Riemann hypothesis i
n the background.\nIt is going to be a light conversation\, accessible to
a broad audience.\n\nPlease register in advance for this webinar:\nhttps:/
/zoom.us/webinar/register/WN_I9MYZVdxRy-OBs1gVcUECA\nAfter registering\, y
ou will receive a confirmation email containing information about joining
the webinar.\n
LOCATION:https://researchseminars.org/talk/ICTPmathseminar/32/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Pichai Ramadevi (Indian Institute of Technology Bombay)
DTSTART:20210318T130000Z
DTEND:20210318T140000Z
DTSTAMP:20260422T225801Z
UID:ICTPmathseminar/33
DESCRIPTION:Title: Math Associates Seminars: Arborescent versus non-Arborescent Knot
s and Links\nby Pichai Ramadevi (Indian Institute of Technology Bombay
) as part of ICTP Math Seminar\n\n\nAbstract\nI will briefly explain the c
omputational methods of obtaining coloured HOMFLY-PT invariants of all arb
orescent knots/links and some non-arborescent knots/links. \nAlso\, I will
briefly discuss our attempts to distinguish mutant knots.\n\nPlease regis
ter in advance for this meeting:\nhttps://zoom.us/meeting/register/tJwudOi
orD4qH9S_BGN5RD7Z8v8TQjfrXo3o\nAfter registering\, you will receive a conf
irmation email containing information about joining the meeting.\n
LOCATION:https://researchseminars.org/talk/ICTPmathseminar/33/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Andrea Solotar (Universidad de Buenos Aires)
DTSTART:20210401T120000Z
DTEND:20210401T130000Z
DTSTAMP:20260422T225801Z
UID:ICTPmathseminar/34
DESCRIPTION:Title: Math Associates Seminars: The Hochschild Cohomology of gentle Alg
ebras\nby Andrea Solotar (Universidad de Buenos Aires) as part of ICTP
Math Seminar\n\n\nAbstract\nHomological methods provide important informa
tion about the structure of associative algebras\, revealing sometimes hid
den connections amongst them. The Hochschild homology\, cohomology - toget
her with its graded algebra structure and its Gerstenhaber structure - of
unital associative algebras over a field are invariants preserved by deriv
ed equivalences. The Lie algebra of derivations modulo inner derivations -
that is\, the forst Hochschild cohomology of the algebra- is particularly
interesting. \nThe family of gentle algebras has attracted the attention o
f many authors in recent times. These algebras were introduced by Assem an
d Skowroński in the '80s as a generalization of iterated tilted algebras
of type An and affine type Ãn. They are connected to many other areas of
mathematics such as dimer models\, Lie algebras\, cluster theory\, and ho
mological mirror symmetry.\nWe will give a complete description of the str
ucture of the Hochschild cohomology ring of a gentle algebra A both as a g
raded commutative algebra and as Gerstenhaber algebra. Furthermore\, we wi
ll show how these structures are encoded in the geometric surface model of
the bounded derived category associated to a gentle algebra via its ribbo
n graph. Moreover\, we will explain how the first Hochschild cohomology ac
ts on the category of A-modules and on its derived category. \nThis is a j
oint work with Cristian Chaparro Acosta\, Sibylle Schroll and Mariano Suá
rez-Alvarez.\n\nPlease register in advance for this meeting:\nhttps://zoom
.us/meeting/register/tJcrduGupjIuHNHlpmH4MNOCRQQulr61w6ej\n \nAfter regist
ering\, you will receive a confirmation email containing information about
joining the meeting.\n
LOCATION:https://researchseminars.org/talk/ICTPmathseminar/34/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Tony Ezome (USTM\, Gabon and PREMA)
DTSTART:20210415T130000Z
DTEND:20210415T140000Z
DTSTAMP:20260422T225801Z
UID:ICTPmathseminar/35
DESCRIPTION:Title: Math Associates Seminar: Hopf-Galois Structures on separable Fiel
d Extensions\nby Tony Ezome (USTM\, Gabon and PREMA) as part of ICTP M
ath Seminar\n\n\nAbstract\nHopf-Galois theory is a generalization of the c
lassical Galois theory. The concept of Hopf-Galois extension is due to Cha
se and Sweedler [1]. They introduced it in 1969 to study purely inseparabl
e extensions of fields and ramified extensions of rings. Then\, in 1987\,
Greither and Pareigis [2] developed Hopf-Galois theory for separable field
extensions. \nIn the first part of this talk\, we will present Hopf-Galoi
s structures of separable field extensions by going from well known result
s within Galois theory. Then we will focus on Hopf-Galois structures which
are minimal. All along the talk\, we will give detailed examples. \n\
nReferences\n[1] S. U. Chase and M. E. Sweedler. Hopf Algebras and Galois
Theory. Springer-Verlag\,New York/Berlin\, 1969. Lecture Notes in Mathemat
ics\, Vol. 97. \n\n[2] C. Greither and B. Pareigis. Hopf Galois theory f
or separable field extensions. J.Algebra\, 106:239–258\, 1987.\n\nPlease
register in advance for this meeting : https://zoom.us/meeting/register/
tJMqde2ppz0uH9GuZE6ndZfU9ct2qD1W-P9W \n\nAfter registering\, you will rece
ive a confirmation email containing information about joining the meeting.
\n
LOCATION:https://researchseminars.org/talk/ICTPmathseminar/35/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Masafumi Hattori (Kyoto University)
DTSTART:20210430T123000Z
DTEND:20210430T133000Z
DTSTAMP:20260422T225801Z
UID:ICTPmathseminar/36
DESCRIPTION:Title: ICTP/SISSA Math Seminar on Kähler Geometry: A Decomposition Form
ula for J-Stability and its Applications\nby Masafumi Hattori (Kyoto U
niversity) as part of ICTP Math Seminar\n\n\nAbstract\nJ-stability plays a
n important role in K-stability and deeply related to the existence of a s
tationary solution of J-flow. Strikingly\, G. Chen\, Datar Pingali and J.
Song proved Lejmi-Szekelyhidi conjecture\, uniform J-stability and J-posit
ivity are equivalent\, by differential geometric arguments recently. Howev
er\, this fact has not been proved in algebro-geometric way before. In thi
s talk\, I would like to explain a decomposition formula of non-Archimedea
n J-functional\, the (n+1)-dimensional intersection number into n-dimensio
nal intersection numbers and its applications to prove the conjecture for
singular algebraic surfaces and to show that there exists a J-stable but n
ot uniformly J-stable variety. \nBased on arXiv:2103.04603\n\nRegister in
advance for this meeting:\nhttps://zoom.us/meeting/register/tJMvdeiurTIoG9
LeSPU_FqYfs_Ie5_WgeYM6\n \nAfter registering\, you will receive a confirma
tion email containing information about joining the meeting.\n
LOCATION:https://researchseminars.org/talk/ICTPmathseminar/36/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Abbas Fakhari (IPM and Shahid Beheshti University)
DTSTART:20210513T120000Z
DTEND:20210513T130000Z
DTSTAMP:20260422T225801Z
UID:ICTPmathseminar/37
DESCRIPTION:Title: ICTP Math Associates Seminar: Stable local Dynamics: Expansion\,
Quasi-Conformality and Ergodicity\nby Abbas Fakhari (IPM and Shahid Be
heshti University) as part of ICTP Math Seminar\n\n\nAbstract\nWe discuss
the stable ergodicity of the action of groups of diffeomorphisms on smoot
h manifolds. The existence of such actions is well-known only on one-dimen
sional manifolds. As a consequence of a new local and stable mechanism/phe
nomenon\, called quasi-conformal blender\, one can overcome this restricti
on and construct higher-dimensional examples. In particular\, every closed
manifold admits stably ergodic finitely generated group actions by smooth
diffeomorphisms. One can also prove the stable ergodicity of the natural
action of a generic pair of matrices near the identity on a sphere of arbi
trary dimension. The quasi-conformal blender is developed in the context
of pseudo-semigroup actions of locally defined smooth diffeomorphisms and
yields stable local ergodicity in several different settings.\n\nThis talk
is based on a joint work with M. Nassiri and H. Rajabzadeh.\n\nKindly no
te that this seminar is being organized via Google Meet. To attend the sem
inar kindly click on the link below a few minutes before the event starts
and wait until the host allows you to access:\nhttps://meet.google.com/otj
-mqpy-inq\n
LOCATION:https://researchseminars.org/talk/ICTPmathseminar/37/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Akhtam Dzhalilov (Turin Polytechnic University\, Tashkent\, Uzbeki
stan)
DTSTART:20210907T123000Z
DTEND:20210907T133000Z
DTSTAMP:20260422T225801Z
UID:ICTPmathseminar/38
DESCRIPTION:Title: Probability invariant measures\, dynamical partitions and hitting
times of circle maps with singularities\nby Akhtam Dzhalilov (Turin P
olytechnic University\, Tashkent\, Uzbekistan) as part of ICTP Math Semina
r\n\n\nAbstract\nIn the present talk we give the short introduction to cir
cle dynamics. Also we discuss some new results in circle maps with break o
r critical points.\n\nRegister in advance for this meeting:\nhttps://zoom.
us/meeting/register/upAkcOutpjgpEN8KHIr4it2Q9mc0EkRQSw\nAfter registering\
, you will receive a confirmation email containing information about joini
ng the meeting.\n
LOCATION:https://researchseminars.org/talk/ICTPmathseminar/38/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alexandre Bufetov (Aix-Marseille University)
DTSTART:20210917T123000Z
DTEND:20210917T133000Z
DTSTAMP:20260422T225801Z
UID:ICTPmathseminar/39
DESCRIPTION:Title: Conditional Measures for the Zero Set of the Gaussian Analytic Fu
nction\nby Alexandre Bufetov (Aix-Marseille University) as part of ICT
P Math Seminar\n\n\nAbstract\nConsider a random series whose entries are i
ndependent complex Gaussians with expectation zero and variance 1. The rad
ius of convergence of this series is 1. The Peres-Viràg theorem gives an
explicit determinantal formula for the correlation functions of the zero s
et\; it turns out\, in particular\, that if the unit disc is considered as
the Poincaré model for the Lobachevsky plane\, then the distribution of
the zero set is invariant under Lobachevskian isometries. The main result
of the talk is an explicit descriptiopn of conditional distributions of th
e zero set subject to the condition that the configuration is fixed in the
complement of a compact set.\n\nRegister in advance for this meeting:\nht
tps://zoom.us/meeting/register/tJYld-CurTsrE9Gw2qPfyAeIBksOHALM_Wkw \nAfte
r registering\, you will receive a confirmation email containing informati
on about joining the meeting.\n
LOCATION:https://researchseminars.org/talk/ICTPmathseminar/39/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Elizabeth Gasparim (Universidad Catolica del Norte\, Chile)
DTSTART:20211124T130000Z
DTEND:20211124T140000Z
DTSTAMP:20260422T225801Z
UID:ICTPmathseminar/40
DESCRIPTION:Title: Algebraic Geometry Seminar: Intrinsic Mirrors of Adjoint Orbits\nby Elizabeth Gasparim (Universidad Catolica del Norte\, Chile) as part
of ICTP Math Seminar\n\n\nAbstract\nOur work "A Lie theoretical construct
ion of a Landau-Ginzburg model without projective mirrors" with Barmeier\,
Ballico\, Grama\, San Martin gives the example LG2 of a Symplectic Lefsch
etz fibration without projective mirrors. This means that there does not e
xist any projective variety whose derived category of coherent sheaves is
equivalent to Fuk(LG2). I will describe how to use the Gross-Siebert recip
e to obtain an algebraic mirror for LG2.\n\nRegister in advance for this m
eeting:\nhttps://zoom.us/meeting/register/tJIuf-6vrT4tGteS5Y9R3YRHWGEL038g
p2CN\nAfter registering\, you will receive a confirmation email containing
information about joining the meeting.\n
LOCATION:https://researchseminars.org/talk/ICTPmathseminar/40/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Francesco Baldassarri (University of Padova)
DTSTART:20220511T120000Z
DTEND:20220511T130000Z
DTSTAMP:20260422T225801Z
UID:ICTPmathseminar/41
DESCRIPTION:Title: A closed exact category of quasi-coherent sheaves on formal schem
es\nby Francesco Baldassarri (University of Padova) as part of ICTP Ma
th Seminar\n\n\nAbstract\nAbstract: Modeled on the book project https://ar
xiv.org/abs/math/0409584 of Gabber and Ramero\, we propose a category of t
opological sheaves on a not-necessarily noetherian formal scheme which is
Quillen-exact\, closed symmetric monoidal\, and admits cokernels and imag
es. Unless the scheme is affine\, the category does not admit kernels. We
show that the corresponding (topological) cohomology may be calculated by
Cech methods.\n\nRegister in advance for this meeting:\nhttps://zoom.us/me
eting/register/tJYocuyqrjwrGdzQVfkOQzaUcUKJBfDbGnfw\nAfter registering\, y
ou will receive a confirmation email containing information about joining
the meeting.\n\nThis will be a hybrid seminar. All are very welcome to joi
n either online or in person. Venue: Luigi Stasi seminar room\, for those
wishing to attend in person.\n
LOCATION:https://researchseminars.org/talk/ICTPmathseminar/41/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mladen Victor WICKERHAUSER (Washington University in St. Louis\, M
issouri)
DTSTART:20220616T140000Z
DTEND:20220616T150000Z
DTSTAMP:20260422T225801Z
UID:ICTPmathseminar/42
DESCRIPTION:Title: Superposition and Orthogonality\, from Polynomials to Wavelets\nby Mladen Victor WICKERHAUSER (Washington University in St. Louis\, Mis
souri) as part of ICTP Math Seminar\n\n\nAbstract\nOver three centuries\,
the approximation of functions by linear superposition has evolved from po
lynomials to wavelet Fourier series. We will survey some of these methods
and examine how desirable features beyond ease of computation have been i
ntroduced. We will see how Haar and Daubechies developed special bases wit
h prescribed features that could be adapted to particular approximation pr
oblems. Some applications include image compression and de-noising.\n\nReg
ister in advance for this meeting:\nhttps://zoom.us/meeting/register/tJMqc
OiqqjsoH9zWTSo57lbxrtAGEhtfexB7 \nAfter registering\, you will receive a c
onfirmation email containing information about joining the meeting.\n\nThi
s will be a hybrid seminar. All are very welcome to join either online or
in person. Venue: Luigi Stasi Seminar Room (ICTP Leonardo Da Vinci Buildin
g)\, for those wishing to attend in person.\n
LOCATION:https://researchseminars.org/talk/ICTPmathseminar/42/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Zhengping GUI (ICTP\, Trieste\, Italy)
DTSTART:20220615T140000Z
DTEND:20220615T150000Z
DTSTAMP:20260422T225801Z
UID:ICTPmathseminar/43
DESCRIPTION:Title: Elliptic Trace Map on Chiral Algebras\nby Zhengping GUI (ICTP
\, Trieste\, Italy) as part of ICTP Math Seminar\n\n\nAbstract\nTrace map
on deformation quantized algebra leads to the algebraic index theorem. We
investigate a two-dimensional chiral analogue of the algebraic index theor
em via the theory of chiral algebras developed by Beilinson and Drinfeld.
We construct a trace map on the elliptic chiral homology of the free beta
gamma-bc system using the BV quantization framework. As an example\, we co
mpute the trace evaluated on the unit constant chiral chain and obtain the
formal Witten genus in the Lie algebra cohomology. This talk is based on
joint work with Si Li.\n\nRegister in advance for this meeting:\nhttps://z
oom.us/meeting/register/tJEqcO6orTwrGdbyt3Z8bbREy1FJETa-8yKS\nAfter regist
ering\, you will receive a confirmation email containing information about
joining the meeting.\n\nThis will be a hybrid seminar. All are very welco
me to join either online or in person. Venue: Luigi Stasi Seminar Room (IC
TP Leonardo Da Vinci Building)\, for those wishing to attend in person.\n
LOCATION:https://researchseminars.org/talk/ICTPmathseminar/43/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Melvin HOCHSTER (University of Michigan\, Ann Arbor\, MI\, USA)
DTSTART:20220725T140000Z
DTEND:20220725T150000Z
DTSTAMP:20260422T225801Z
UID:ICTPmathseminar/44
DESCRIPTION:Title: Extending tight closure to characteristic 0 and open questions in
all characteristics\nby Melvin HOCHSTER (University of Michigan\, Ann
Arbor\, MI\, USA) as part of ICTP Math Seminar\n\n\nAbstract\nWe will giv
e a quick introduction to the extension of tight closure to Noetherian rin
gs containing the rational numbers. We also give an overview of some of t
he most important\nopen questions remaining in all characteristics.\n\nReg
ister in advance for this meeting:\nhttps://zoom.us/meeting/register/tJMkc
e2vqj0sGNaXfO-N3gRHJg9jz3-LU9q6 \nAfter registering\, you will receive a c
onfirmation email containing information about joining the meeting.\n
LOCATION:https://researchseminars.org/talk/ICTPmathseminar/44/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Tanja Schindler (University of Vienna)
DTSTART:20221012T120000Z
DTEND:20221012T130000Z
DTSTAMP:20260422T225801Z
UID:ICTPmathseminar/45
DESCRIPTION:Title: Almost sure asymptotic behaviour of Birkhoff sums for infinite me
asure-preserving dynamical systems\nby Tanja Schindler (University of
Vienna) as part of ICTP Math Seminar\n\nLecture held in Luigi Stasi semina
r room\, ICTP\, Leonardo Building.\n\nAbstract\nWe are interested in the l
imit behaviour of Birkhoff sums over an infinite sigma-finite measure spac
e. If the observable is integrable then - by a classical theorem by Aarons
on - there exists no sequence of real numbers such that the Birkhoff sum n
ormed by this sequence converges almost surely to 1. Under strong mixing c
onditions on the underlying system we prove a generalized strong law of la
rge numbers for integrable observables using a truncated sum adding a suit
able number of terms depending on the point of evaluation. For f not integ
rable we give conditions on f such that the Birkhoff sum normed by a seque
nce of real numbers converges almost surely to 1. Finally\, we look at the
example of the backwards continued fractions where we have an observable
which is non-integrable wrt the measure restrictet to a finite measure set
. We give a proper truncation also for this system. \nThis is joint work w
ith Claudio Bonanno.\n\nThis is a hybrid event.\nFor online participation
please register here:\nhttps://zoom.us/meeting/register/tJAvf-GsqTspHdyZx3
rgfg1RyiuEKtUdnq_Q\n
LOCATION:https://researchseminars.org/talk/ICTPmathseminar/45/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Diletta Martinelli (University of Amsterdam)
DTSTART:20221012T133000Z
DTEND:20221012T150000Z
DTSTAMP:20260422T225801Z
UID:ICTPmathseminar/46
DESCRIPTION:Title: Algebraic Geometry Seminars - Part 1: Introduction to birational
geometry and the Minimal Model Program Part 2: Gale duality\, blowups and
moduli spaces\nby Diletta Martinelli (University of Amsterdam) as part
of ICTP Math Seminar\n\nLecture held in for in-person attendees (ICTP\, L
eonardo da Vinci\, Luigi Stasi seminar room)..\n\nAbstract\nPart 1: Introd
uction to birational geometry and the Minimal Model Program\n\nThe Minimal
Model Program is an important framework in the classification of projecti
ve varieties up to birational equivalence. In the talk\, I plan to give an
accessible introduction to the subject and describe some recent advances
in the theory.\n\n\n\n\n\n\nPart 2: Gale duality\, blowups and moduli spac
es\n\nThe Gale correspondence provides a duality between sets of n points
in projective spaces P^s and P^r when n=r+s+2. For small values of s\, thi
s duality has a remarkable geometric manifestation: the blowup of P^r at n
points can be realized as a moduli space of vector bundles on the blowup
of P^s at the Gale dual points. We explore this realization to describe th
e birational geometry of blowups of projective spaces at points in very ge
neral position. We will focus in particular on the cases where the blowup
fails to be a Mori Dream Space\, reporting on a joint work with Carolina A
raujo\, Ana-Maria Castravet and Inder Kaur.\n\nFor virtual attendees - Kin
dly register in advance:\nhttps://zoom.us/meeting/register/tJEodeyspjooE9R
Lusdnk-qwB3tk0VcT8kuM\nAfter registering\, you will receive a confirmation
email containing information about joining the meeting.\n\nKindly note th
at this seminar is divided in two parts of roughly 45 minutes each. The f
irst part is for more general audience\, while the second part is more spe
cialized.\n
LOCATION:https://researchseminars.org/talk/ICTPmathseminar/46/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Lothar Göttsche (ICTP)
DTSTART:20221019T140000Z
DTEND:20221019T153000Z
DTSTAMP:20260422T225801Z
UID:ICTPmathseminar/47
DESCRIPTION:Title: Algebraic Geometry Seminar -Part 1: The Hilbert scheme of points
and Part 2: (Refined) Verlinde and Segre formulas for Hilbert schemes of p
ointsuli spaces\nby Lothar Göttsche (ICTP) as part of ICTP Math Semin
ar\n\nLecture held in Hybrid seminar.\n\nAbstract\nPart 1: The Hilbert sch
eme of points\nWe introduce the Hilbert scheme of points on surface\, and
talk about its invariants\, its relations to other moduli spaces of sheave
s and applications to enumerative geometry. Finally we introduce some tech
niques for working with these Hilbert schemes\n\nPart 2: (Refined) Verlind
e and Segre formulas for Hilbert schemes of pointsuli spaces\nThis is join
t work with Anton Mellit.\nSegre and Verlinde numbers of Hilbert schemes o
f points have been studied for a long time.\nThe Segre numbers are evaluat
ions of top Chern and Segre classes of so-called tautological bundles on H
ilbert schemes of points.\nThe Verlinde numbers are the holomorphic Euler
characteristics of line bundles on these Hilbert schemes.\nWe give the gen
erating functions for the Segre and Verlinde numbers of Hilbert schemes of
points.\nThe formula is proven for surfaces with K_S^2=0\, and conjecture
d in general. Without restriction on K_S^2 we prove the conjectured Verlin
de-Segre correspondence relating Segre and Verlinde numbers of Hilbert sch
emes. Finally we find a generating function for finer invariants\, which s
pecialize to both the Segre and Verlinde numbers\, giving some kind of exp
lanation of the Verlinde-Segre correspondence.\n\nThe talk is divided in 2
parts\, each roughly 45mn with a short break between. The 1st part is for
more general audience and the 2nd part is more specialized.\n\nVenue: for
in-person attendees (ICTP Leonardo da Vinci\, Luigi Stasi seminar room).\
n\nFor virtual attendees:\nhttps://zoom.us/meeting/register/tJUvdumrpjMqH9
TgK4-irQa1IZcvBANg3EGF\nAfter registering\, you will receive a confirmatio
n email containing information about joining the meeting.\n
LOCATION:https://researchseminars.org/talk/ICTPmathseminar/47/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Miguel Urbano (KAUST)
DTSTART:20221118T100000Z
DTEND:20221118T110000Z
DTSTAMP:20260422T225801Z
UID:ICTPmathseminar/49
DESCRIPTION:Title: Lipschitz learning and the infinity-Laplacian\nby Miguel Urba
no (KAUST) as part of ICTP Math Seminar\n\nLecture held in Luigi Stasi sem
inar room\, ICTP\, Leonardo Building.\n\nAbstract\nInfinity-harmonic funct
ions have recently found application in Semi-Supervised Learning in the co
ntext of the so-called Lipschitz Learning. With this application in mind\,
we will discuss the Lipschitz extension problem\, its solution via MacSha
ne-Whitney extensions and its several drawbacks\, leading to the notion of
AMLE (Absolutely Minimising Lipschitz Extension). We then address the equ
ivalence between being absolutely minimising Lipschitz\, enjoying comparis
on with cones and solving the infinity-Laplace equation in the viscosity s
ense. \nWe will present a few regularity results and discuss open problems
if time permits.\n\nThis is a hybrid event.\nFor those wishing to attend
in remote\, please register in advance for this meeting:\nhttps://zoom.us/
meeting/register/tJ0lcOGrrj8pGNwzzpDNyw9zrLYidnQW93NJ \n\nAfter registerin
g\, you will receive a confirmation email containing information about joi
ning the meeting.\n
LOCATION:https://researchseminars.org/talk/ICTPmathseminar/49/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Damião Araújo (Universidade Federal da Paraíba – UFPB)
DTSTART:20221130T100000Z
DTEND:20221130T110000Z
DTSTAMP:20260422T225801Z
UID:ICTPmathseminar/50
DESCRIPTION:Title: On highly degenerate Alt-Phillips problems\nby Damião Araú
jo (Universidade Federal da Paraíba – UFPB) as part of ICTP Math Semin
ar\n\nLecture held in for in-person attendees: Lecture Room D (ICTP\, Leon
ardo da Vinci\, terrace level).\n\nAbstract\nIn this talk\, we study regul
arity properties for nonvariational singular elliptic equations ruled by h
ighly degenerate second-order operators. We obtain optimal regularity alon
g the free boundary. We also show existence of solutions\, nondegeneracy p
roperties\, and fine geometric estimates for the free boundary. \nThis is
joint work with Ginaldo Sá - UFPB.\n\nRegister in advance for this meetin
g:\nhttps://zoom.us/meeting/register/tJwtceytpjwuEtHlba3sEx-YuHV74KjK6RsW
\n\nAfter registering\, you will receive a confirmation email containing i
nformation about joining the meeting.\n
LOCATION:https://researchseminars.org/talk/ICTPmathseminar/50/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sergio Troncoso Igua (Universidad Tecnica Federico Santa Maria)
DTSTART:20230411T083000Z
DTEND:20230411T093000Z
DTSTAMP:20260422T225801Z
UID:ICTPmathseminar/51
DESCRIPTION:Title: Geography of Surfaces of general Type: Construction of SavageSurf
aces.\nby Sergio Troncoso Igua (Universidad Tecnica Federico Santa Mar
ia) as part of ICTP Math Seminar\n\nLecture held in for in-person attendee
s: Luigi Stasi Seminar Room\, ICTP\, Leonardo Building.\n\nAbstract\nIn th
is talk\, we explore a technique to construct a surface S of general type\
, as a complete intersection of a product of two surfaces X and Y\, such t
hat the Chern numbers of X and Y control the Chern numbers of S\, as well
as its fundamental group. LEF line bundles are a primary tool\, so we will
briefly introduce them. We will show how to use LEF bundles to handle the
geographical problem of populating the interval [1\, 3] densely with Cher
n slopes of minimal surfaces of general type and a fixed fundamental group
. The surfaces that solve such problems are known as Savage Surfaces. \nJo
int work with Giancarlo Urzúa.\n\nThis is a hybrid event. For those wishi
ng to attend online\, please register through https://zoom.us/meeting/regi
ster/tJAkdu-uqzkrGNPiP0rLXSuM5bSbSaX5BeDX\n
LOCATION:https://researchseminars.org/talk/ICTPmathseminar/51/
END:VEVENT
END:VCALENDAR