BEGIN:VCALENDAR
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BEGIN:VEVENT
SUMMARY:Àngel Joaniquet Tukiainen (Zitro)
DTSTART:20201209T110000Z
DTEND:20201209T120000Z
DTSTAMP:20260422T212609Z
UID:SIMBa/1
DESCRIPTION:Title: Re
lationship between victorian eugenecists and slot machine free-game - Bran
ching Processes\nby Àngel Joaniquet Tukiainen (Zitro) as part of Barc
elona Mathematics Informal Seminar (SIMBa)\n\n\nAbstract\nOriginaly\, the
first branching processes where studied to ensure the survival of surnames
on Victorian\nEra aristocrat familes. These use is actually futile as ins
uficient data\, changing laws or simply name\nchanges (ask Victoria's gran
dson\, Edward) make this idealization irrelevant. Since then\, branching\n
processes have found uses beyond surnames\, like studing general reporduct
ion\, or neutron counts on\nnuclear reactions.\nIn this talk we will prese
nt multi-type branching proceses and how they can be used to model and\nco
ntrol populations of germs (or how to know if a slot machine is good).\n
LOCATION:https://researchseminars.org/talk/SIMBa/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:María Cumplido Cabello (Universidad Complutense de Madrid)
DTSTART:20201216T110000Z
DTEND:20201216T120000Z
DTSTAMP:20260422T212609Z
UID:SIMBa/2
DESCRIPTION:Title: St
rand diagrams and generalised braided Thompson's groups\nby María Cum
plido Cabello (Universidad Complutense de Madrid) as part of Barcelona Mat
hematics Informal Seminar (SIMBa)\n\n\nAbstract\nThis is a joint work with
Julio Aroca. There is a generalisation of Thompson's groups constructed f
rom the Thompson's group $V$ and Artin's braid group. The braided Thompson
's group $BV_2$ was independently introduced by Patrick Dehornoy and Matt
hew G. Brin in 2006. In this talk we will explain how two extend this conc
ept to a much bigger family of groups by using infinite braids: Infinitely
braided Thompson's groups $BV_n(H)$\, where $H$ is a subgroup of the brai
d group on $n$ strands. We will prove that they are indeed groups by using
braided diagrams and rewriting systems. We will also see that they are fi
nitely generated if $H$ is finitely generated and give an explicit set of
generators for $BV_n(H)$ and some other cases. Slides will be in English a
nd the talk will be given in Spanish.\n
LOCATION:https://researchseminars.org/talk/SIMBa/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Rosalba García Millán (University of Cambridge)
DTSTART:20210113T110000Z
DTEND:20210113T120000Z
DTSTAMP:20260422T212609Z
UID:SIMBa/3
DESCRIPTION:Title: Ti
me-dependent branching processes: a model of oscillating neuronal avalanch
es\nby Rosalba García Millán (University of Cambridge) as part of Ba
rcelona Mathematics Informal Seminar (SIMBa)\n\n\nAbstract\nRecently\, neu
ronal avalanches have been observed to display oscillations\, a phenomenon
regarded as the co-existence of a scale-free behaviour (the avalanches cl
ose to criticality) and scale-dependent dynamics (the oscillations) [1]. O
rdinary continuous-time branching processes with constant extinction and b
ranching rates are commonly used as models of neuronal activity\, yet they
lack any such time-dependence. In my talk\, I will show how we extended a
basic branching process by allowing the extinction rate to oscillate in t
ime as a new model to describe cortical dynamics [2]. I will discuss about
some observables\, such as the avalanche shape\, that we calculated in cl
osed form by means of a perturbative field theory\, and compared to availa
ble experimental results.\n\n[1] Miller\, Yu & Plenz\, Sci. Rep. 9\, 16403
(2019).\n\n[2] Pausch\, Garcia-Millan & Pruessner\, Sci. Rep. 10\, 13678
(2020).\n
LOCATION:https://researchseminars.org/talk/SIMBa/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Marco Praderio Bova (Lancaster University)
DTSTART:20210127T110000Z
DTEND:20210127T120000Z
DTSTAMP:20260422T212609Z
UID:SIMBa/4
DESCRIPTION:Title: Pe
rsistent homology and barcode distance\nby Marco Praderio Bova (Lancas
ter University) as part of Barcelona Mathematics Informal Seminar (SIMBa)\
n\n\nAbstract\nPersistent homology is an algebraic topology tool that has
gained a lot of relevance in topological data analysis during the past few
years. During this lecture we will introduce this concept from a categori
cal point of view and use category theory techniques in order to proove wh
at is known as stability theorem.\n
LOCATION:https://researchseminars.org/talk/SIMBa/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jose Brox (Centre for Mathematics\, University of Coimbra)
DTSTART:20210210T110000Z
DTEND:20210210T120000Z
DTSTAMP:20260422T212609Z
UID:SIMBa/5
DESCRIPTION:Title: Id
entities in prime rings\nby Jose Brox (Centre for Mathematics\, Univer
sity of Coimbra) as part of Barcelona Mathematics Informal Seminar (SIMBa)
\n\n\nAbstract\nGiven a ring\, a generalized polynomial identity (GPI) is
a polynomial\nidentity in which the coefficients can be taken from the rin
g. Prime rings\nare a class of rings very well suited to manage problems r
elated to\nidentities\, as for example those coming from Herstein's theory
\, which is\nthe study of nonassociative objects and structures arising fr
om\nassociative rings. After a motivating introduction to prime rings\, wi
th\nsome examples from Herstein's theory\, I will show the usefulness of\n
Martindale's lemma\, the key tool for solving GPIs in one variable in prim
e\nrings\, and I will explain a new promising approach to solve them based
on\nelementary algebraic geometry which avoids some shortcomings of the l
emma\,\nallowing to find the optimal solutions.\n
LOCATION:https://researchseminars.org/talk/SIMBa/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Fabio Ferri (University of Exeter)
DTSTART:20210310T110000Z
DTEND:20210310T120000Z
DTSTAMP:20260422T212609Z
UID:SIMBa/6
DESCRIPTION:Title: Ho
w far is an extension of $p$-adic fields from having a normal integral bas
is?\nby Fabio Ferri (University of Exeter) as part of Barcelona Mathem
atics Informal Seminar (SIMBa)\n\n\nAbstract\nLet $L/K$ be a Galois extens
ion of $p$-adic \nfields with Galois group $G$. Denote by $K[G]$ the group
ring $\\{\\sum_{g\\in G}a_gg\\\,\\colon\\\,a_g\\in K\\}$\; the classical
normal basis theorem shows that $L$ is a free $K[G]$-module of rank $1$\,
that is\, there exists an element $\\alpha\\inL$ such that\n$\\{g(\\alpha)
\\}_{g\\in G}$ is a basis of $L$ as a $K$-vector space. It is natural to a
sk whether $\\mathcal{O}_L$ is also a free $\\mathcal{O}_K[G]$-module of r
ank $1$\, where $\\mathcal{O}_L$ and $\\mathcal{O}_K$ denote the rings of
integers of $L$ and $K$\, respectively. A theorem of Noether tells us that
this is the case if and only if the extension is (at most) tamely rami\ne
d. When $L/K$ is wildly rami\ned\, we can still note that there always exi
sts a free $\\mathcal{O}_K[G]$-submodule of $\\mathcal{O}L$ with \nfinite
index. The purpose of this talk is to study the minimal such index\, i.e.
the quantity $m(L/K) \\coloneqq min{\\alpha\\in\\mathcal{O}_L}[\\mathcal{O
}_L : \\mathcal{O}_K[G]\\alpha]$. We will provide a general bound that onl
y depends on the invariants of the extension\, a complete formula for $m(L
/K)$ when $L/\\mathbb{Q}_p$ is abelian and a complete formula when $L/K$ i
s cyclic of degree $p$. This is joint work with Ilaria Del Corso and David
e Lombardo.\n
LOCATION:https://researchseminars.org/talk/SIMBa/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Damian Dabrowsk (University of Jyväskylä)
DTSTART:20210324T110000Z
DTEND:20210324T120000Z
DTSTAMP:20260422T212609Z
UID:SIMBa/7
DESCRIPTION:Title: On
measures\, projections\, and measures of projections\nby Damian Dabro
wsk (University of Jyväskylä) as part of Barcelona Mathematics Informal
Seminar (SIMBa)\n\n\nAbstract\nIn this talk we will look at the following
question: given a subset ofthe plane\, what is the relation between
the size of the set and thesize of its orthogonal projections? To
make the notion of “size” moreprecise\, I will first explain what the
Hausdorff measures and the Haus-dorff dimension are. The talk should be
accessible to anyone who hascompleted a basic calculus course.\n
LOCATION:https://researchseminars.org/talk/SIMBa/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Eduard Soto Ballesteros (Universitat de Barcelona)
DTSTART:20210407T100000Z
DTEND:20210407T110000Z
DTSTAMP:20260422T212609Z
UID:SIMBa/8
DESCRIPTION:Title: Co
eficients de Fourier al p-èsim intèrval de Ramanujan-Petersson\nby E
duard Soto Ballesteros (Universitat de Barcelona) as part of Barcelona Mat
hematics Informal Seminar (SIMBa)\n\n\nAbstract\nL'expansió de Fourier d'
una forma modular nova de pes 2 i caràcter trivial \nés una sèrie de po
tències amb coeficients enters algebraics en un cos totalment \nreal. Els
coeficients d'índex primer tenen un rol protagonista per motius diversos
. \nLa conjectura de Ramanujan-Petersson\, demostrada por Deligne\, prediu
que el p-èsim \ncoeficient de Fourier d'una forma modular de pes 2 té n
orma en $[ 0\, 2 \\sqrt{p} ]$. \nEn aquesta xerrada discutirem quins cosso
s totalment reals tenen elements primitius \nenters en $[0\, 2 \\sqrt{p}]$
. Aquest treball en colaboración amb Samuele Anni té orígens\nen un est
udi computacional d'una conjetura de Coleman.\n
LOCATION:https://researchseminars.org/talk/SIMBa/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Marta Sánchez Pavón (Universidad de Sevilla)
DTSTART:20210421T100000Z
DTEND:20210421T110000Z
DTSTAMP:20260422T212609Z
UID:SIMBa/9
DESCRIPTION:Title: En
tering the tower with Iwasawa theory\nby Marta Sánchez Pavón (Univer
sidad de Sevilla) as part of Barcelona Mathematics Informal Seminar (SIMBa
)\n\n\nAbstract\nProving Fermat Last Theorem has been one of the most famo
us math-ematical challenges during the last years. Most importantly\, it
servedas a key starting point for developing deep theories in arithmetic g
e-ometry\; and Iwasawa theory has been one of such. The fundamentalidea
of Iwasawa theory is studying the growth of arithmetic objects(su
ch as the ideal class group of number fields or Selmer groups
ofelliptic curves and abelian varieties) in an infinite tower ofp-adic ex-
tensions. Furthermore\, much of the recent progress in the Birch andSwinn
erton-Dyer conjecture is due to these methods. In this talk\, wepresent a
brief introduction to Iwasawa theory with an eye on ellipticcurves.\n
LOCATION:https://researchseminars.org/talk/SIMBa/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Raffaele Carbone
DTSTART:20210505T100000Z
DTEND:20210505T110000Z
DTSTAMP:20260422T212609Z
UID:SIMBa/10
DESCRIPTION:by Raffaele Carbone as part of Barcelona Mathematics Informal
Seminar (SIMBa)\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/SIMBa/10/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Guillem Garcia Tarrach
DTSTART:20210519T100000Z
DTEND:20210519T110000Z
DTSTAMP:20260422T212609Z
UID:SIMBa/11
DESCRIPTION:Title: p
-adic modular forms: why do we care?\nby Guillem Garcia Tarrach as par
t of Barcelona Mathematics Informal Seminar (SIMBa)\n\n\nAbstract\nSince t
heir introduction in the seventies\, p-adic modular forms have become an i
mportant topic in algebraic number theory and have seen many applications
to problems in this area. In this talk I will be explaining some of the mo
tivation for p-adic modular forms and talk about some of the important res
ults in the theory.\n
LOCATION:https://researchseminars.org/talk/SIMBa/11/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Eloi Torrent Juste
DTSTART:20210602T100000Z
DTEND:20210602T110000Z
DTSTAMP:20260422T212609Z
UID:SIMBa/12
DESCRIPTION:Title: A
n introduction to theorem provers\nby Eloi Torrent Juste as part of Ba
rcelona Mathematics Informal Seminar (SIMBa)\n\n\nAbstract\nIn this talk
\, we will introduce proof assistants\, pieces of softwarethat fo
rmally verify mathematical proofs.Lean has a very extensivedatabase
with mathematical results at the undergraduate level for-mally v
erified\, and it is even used to verify new research. This has
several applications\, including teaching\, automatically verifying publi-
cations\, and even automated theorem proving. At the end of this talk\,we
will carry out a demo of Lean to show the basics and how you canget start
ed.\n
LOCATION:https://researchseminars.org/talk/SIMBa/12/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Daniel Gil Muñoz (Charles University in Prague)
DTSTART:20211006T100000Z
DTEND:20211006T110000Z
DTSTAMP:20260422T212609Z
UID:SIMBa/13
DESCRIPTION:Title: O
n the possible ranks of universal quadratic forms over totally real number
fields\nby Daniel Gil Muñoz (Charles University in Prague) as part o
f Barcelona Mathematics Informal Seminar (SIMBa)\n\n\nAbstract\nA quadrati
c form $Q(X_1\,...\,X_n)$ over the integer numbers is said to be universal
if it represents all positive integers\, that is\, for every $a \\in \\ma
thbb{Z}>0$ there is a vector $(\\alpha_1\,...\,\\alpha_n)\\in \\mathbb{Z}^
n$ such that $Q(\\alpha_1\,...\,\\alpha_n) = a$. The topic of universal qu
adratic forms is quite classical in arithmetic\; for instance\, Lagrange's
1770 four square theorem asserts that the sum of four squares is a univer
sal quadratic form over $\\mathbb{Z}$. \nIn this talk\, we consider the su
itable generalization of universality for quadratic forms over the number
ring $\\mathcal{O}_K$ of a totally real number field $K$ and view some rec
ent results on the possible ranks (number of variables $X_i$) of universal
quadratic forms over different families of totally real number\nfields.\n
LOCATION:https://researchseminars.org/talk/SIMBa/13/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Daniel Gil Muñoz (University of Barcelona)
DTSTART:20231004T110000Z
DTEND:20231004T120000Z
DTSTAMP:20260422T212609Z
UID:SIMBa/14
DESCRIPTION:Title: T
he use of skew braces in Hopf-Galois theory\nby Daniel Gil Muñoz (Uni
versity of Barcelona) as part of Barcelona Mathematics Informal Seminar (S
IMBa)\n\nLecture held in UPC (FME aula 005).\n\nAbstract\nThe notion of Ga
lois extension can be rewritten in such a way that it depends only on the
Galois group and its action on the top field of the extension. Moreover\,
the group algebra corresponding to the Galois group can be endowed with a
Hopf algebra structure. These facts inspire the notion of Hopf-Galois exte
nsion: an extension that admits a Hopf algebra together with a linear acti
on on the top field satisfying analogous conditions. Such a pair is called
a Hopf-Galois structure. Consequently\, every Galois extension is Hopf-Ga
lois\, but not the other way around. This is the beginning of Hopf-Galois
theory\, a generalization of Galois theory that was introduced in the sixt
ies of the last century and have provided a useful setting to generalize n
otions and results from Galois theory. More recently\, it was found that e
ach Hopf-Galois structure on a Galois extension corresponds to a skew brac
e: a set endowed with two group structures satisfying a variant of the dis
tributive property. The theory of skew braces was introduced in 2007 and o
wes its interest to its applications on the study of the Yang-Baxter equat
ion. This is how a connection between Hopf-Galois theory and skew braces w
as established\, leading to a big body of research in the last years. In t
his talk\, we provide an introduction to both of these topics as well as t
heir link\, on which we shall view some recent results.\n
LOCATION:https://researchseminars.org/talk/SIMBa/14/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jack Thompson (The University of Western Australia)
DTSTART:20231018T110000Z
DTEND:20231018T120000Z
DTSTAMP:20260422T212609Z
UID:SIMBa/15
DESCRIPTION:Title: O
verdetermined problems involving the fractional Laplacian\nby Jack Tho
mpson (The University of Western Australia) as part of Barcelona Mathemati
cs Informal Seminar (SIMBa)\n\nLecture held in UB FMI\, Room B2.\n\nAbstra
ct\nOverdetermined problems are a class of partial differential boundary v
alue problem where "too many" boundary conditions are imposed on the solut
ion. Such problems appear in physics\, biology\, and other applied science
s due to their strong connection with shape optimisation. The mathematical
objective is to understand and classify the regions that admit solutions
that satisfy all the required properties.\n\nA classical result in this ar
ea is Serrin's problem\, which says that a bounded domain in $\\mathbb R^n
$ that admits a function with constant Laplacian\, zero Dirichlet data\, a
nd constant Neumann data must be a ball. We will consider two generalisati
ons of this problem\, both driven by the fractional Laplacian\, and give a
n overview of the current literature and open problems.\n
LOCATION:https://researchseminars.org/talk/SIMBa/15/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Eloi Torrents Juste (niversitat Autònomia de Barcelona)
DTSTART:20231108T120000Z
DTEND:20231108T130000Z
DTSTAMP:20260422T212609Z
UID:SIMBa/16
DESCRIPTION:Title: F
undamental domains for the Bruhat-Tits tree for $GL_2(F_p)$\nby Eloi T
orrents Juste (niversitat Autònomia de Barcelona) as part of Barcelona Ma
thematics Informal Seminar (SIMBa)\n\nLecture held in UAB\, Aula petita CR
M.\n\nAbstract\nThe computation of fundamental domains of the Bruhat-Tits
tree by the action of\nquaternionic groups allows the computation of harmo
nic cocycles on it. These are\nrelated to automorphic forms and from this
fact are derived several applications\, as\nfor example the computation of
points on Shimura curves and Heegner points on\nelliptic curves as done b
y M. Greenberg and later generalized by C. Franc and M.\nMasdeu.\n\nIn thi
s talk we will review these concepts\, and we will explain how to apply th
em\nin the computation of Heegner points on elliptic curves in cases where
the Heegner\nhypothesis is not satisfied\, and therefore the classical ar
quimedian construction of\nthese points is difficult to compute.\n
LOCATION:https://researchseminars.org/talk/SIMBa/16/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Renzo Bruera Méndez (Universitat Politècnica de Catalunya)
DTSTART:20231129T120000Z
DTEND:20231129T130000Z
DTSTAMP:20260422T212609Z
UID:SIMBa/17
DESCRIPTION:Title: A
n interior regularity result for the MEMS problem\nby Renzo Bruera Mé
ndez (Universitat Politècnica de Catalunya) as part of Barcelona Mathemat
ics Informal Seminar (SIMBa)\n\nLecture held in UPC FME\, Aula 005.\n\nAbs
tract\nIn this talk we present an interior regularity result for the class
of stable solutions to a semilinear elliptic equation with a singular non
linearity. The class of nonlinearities that we consider are real-valued fu
nctions defined on [0\,1) which are positive\, nondecreasing\, and whose i
ntegral on [0\,1) is infinite. This equation is a generalization of a mode
l for the deflection of a dielectric elastic membrane in a microelectromec
hanical system (MEMS).\n\nSolutions to this equation are critical points o
f an associated energy functional. We say that a solution is stable when t
he second variation of the energy at the solution is nonnegative. Under a
growth assumption on the nonlinearity\, we are able to prove that every st
able solution is regular up to the optimal dimension\, n=6.\n
LOCATION:https://researchseminars.org/talk/SIMBa/17/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Enric Solé Farré (Imperial College London - University College L
ondon)
DTSTART:20231220T100000Z
DTEND:20231220T110000Z
DTSTAMP:20260422T212609Z
UID:SIMBa/18
DESCRIPTION:Title: C
ohomogeneity one - From PDEs to groups and ODEs\nby Enric Solé Farré
(Imperial College London - University College London) as part of Barcelon
a Mathematics Informal Seminar (SIMBa)\n\nLecture held in UB FMI\, Aula B1
.\n\nAbstract\nOne of the main problems in differential geometry is solvin
g PDEs involving different geometric quantities. Solutions to most of thes
e PDEs are hard to come by\, and one is often forced to reduce to very sym
metric scenarios to find examples of solutions. \n\nI will first revise so
me instances of the case with maximal symmetry: homogeneous space\; before
moving to the cohomogeneity one case. The driving PDE examples will be th
e Einstein equation and the exceptional holonomy conditons.\n
LOCATION:https://researchseminars.org/talk/SIMBa/18/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Robin Simoens (Universitat Politècnica de Catalunya)
DTSTART:20240110T120000Z
DTEND:20240110T130000Z
DTSTAMP:20260422T212609Z
UID:SIMBa/19
DESCRIPTION:Title: C
oding theory: into the quantum world\nby Robin Simoens (Universitat Po
litècnica de Catalunya) as part of Barcelona Mathematics Informal Seminar
(SIMBa)\n\nLecture held in UPC FME\, Aula 005.\n\nAbstract\nClassical err
or-correcting codes were introduced in 1950 by Richard Hamming and are now
well-developed. They are built upon the idea of adding redundant informat
ion to protect against errors. In 1995\, Peter Shor showed that this idea
can be carried into the quantum world\, giving rise to quantum error-corre
cting codes\, which play a central role in the realisation of quantum comp
uters. In this talk\, I will give an introduction to both classical and qu
antum codes\, pointing out their differences and similarities.\n
LOCATION:https://researchseminars.org/talk/SIMBa/19/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Irene Macías Tarrío (Universitat de Barcelona)
DTSTART:20240228T120000Z
DTEND:20240228T130000Z
DTSTAMP:20260422T212609Z
UID:SIMBa/20
DESCRIPTION:Title: M
oduli spaces of stable vector bundles\nby Irene Macías Tarrío (Unive
rsitat de Barcelona) as part of Barcelona Mathematics Informal Seminar (SI
MBa)\n\nLecture held in UB (aula B3).\n\nAbstract\nModuli spaces are essen
tial constructions that arise in connection with classification problems.
When dealing with vector bundles on a smooth algebraic variety X\, the mod
uli space of stable vector bundles parametrizes isomorphic classes of stab
le vector bundles. This talk will start with the definition and constructi
on of this moduli space from the point of view of algebraic geometry. Afte
r this there will be an overview of the Brill-Noether Theory\, which conce
rns the study of certain subvarieties of this moduli space in order to kno
w more about its geometry.\n
LOCATION:https://researchseminars.org/talk/SIMBa/20/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Dídac Gil Rams (Centre de Recerca Matemàtica)
DTSTART:20240306T120000Z
DTEND:20240306T130000Z
DTSTAMP:20260422T212609Z
UID:SIMBa/21
DESCRIPTION:Title: S
plitting of separatrices in generalized standard maps\nby Dídac Gil R
ams (Centre de Recerca Matemàtica) as part of Barcelona Mathematics Infor
mal Seminar (SIMBa)\n\nLecture held in UPC.\n\nAbstract\nWe study transver
sal intersections between the invariant manifolds (stable and unstable) as
sociated to an hyperbolic fixed point for a class of maps. These intersect
ions are known as homoclinic\norbits.\nThe existence of these kind of orbi
ts is one of the most celebrated methods to prove the existence of\nchaoti
c dynamics in a system. Indeed the Morse-Smale theorem ensures that if the
re exist transversal intersections between the invariant manifolds of the
same invariant object\, the system is locally conjugate to a Smale horsesh
oe with infinite symbols.\n\nWe look for this phenomena in the named gener
alized standard maps. This generalization includes the already studied map
s like the standard map\, first studied by Lazutkin\, or the perturbed McM
illan map.\nWe obtain an asymptotic formula for the Lazutkin invariant\, v
alue related to the area between two homoclinic points\, and its first ter
m depends on a Stokes constant that is generically different from zero. To
do so\, one of the techniques that we use is the inner equation related t
o our generalized standard maps.\n
LOCATION:https://researchseminars.org/talk/SIMBa/21/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Miquel Saucedo (Centre de Recerca matemàtica)
DTSTART:20240214T120000Z
DTEND:20240214T130000Z
DTSTAMP:20260422T212609Z
UID:SIMBa/23
DESCRIPTION:Title: S
ubcritical uncertainty principles for the Fourier transform\nby Miquel
Saucedo (Centre de Recerca matemàtica) as part of Barcelona Mathematics
Informal Seminar (SIMBa)\n\nLecture held in UAB (CRM aula petita).\n\nAbst
ract\nIn this talk I will discuss a type of "relaxed" uncertainty principl
e for the Fourier transform which has applications in the study of the Sch
rödinger equation. The main tools are polynomial approximation inequalit
ies.\n
LOCATION:https://researchseminars.org/talk/SIMBa/23/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alejandro García Sánchez (Universidad Autónoma de Barcelona)
DTSTART:20240320T120000Z
DTEND:20240320T130000Z
DTSTAMP:20260422T212609Z
UID:SIMBa/24
DESCRIPTION:Title: G
eometría y topología de espacios de Teichmüller\nby Alejandro Garc
ía Sánchez (Universidad Autónoma de Barcelona) as part of Barcelona Mat
hematics Informal Seminar (SIMBa)\n\nLecture held in UAB (aula petita CRM)
.\n\nAbstract\nSe construyen los espacios de Teichmüller en el contexto d
el problema de clasificación de superficies de Riemann cerradas. En prime
r lugar\, analizaremos el primer caso no trivial (género 1)\, que nos per
mitirá dotar al espacio de móduli de una rica estructura geométrica ví
a un espacio que llamaremos de Teichmüller. A partir de ahí\, el objetiv
o es mostrar la generalización para género superior de estos dos espacio
s y hacer énfasis en la "naturalidad" de estas construcciones\, si bien s
e evita por completo el tratamiento del tema desde teoría de categorías.
\n\nPizza for everyone after the talk!\n
LOCATION:https://researchseminars.org/talk/SIMBa/24/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Anna Jové (Universitat de Barcelona)
DTSTART:20240403T110000Z
DTEND:20240403T120000Z
DTSTAMP:20260422T212609Z
UID:SIMBa/25
DESCRIPTION:Title: P
esin's theory in a transcendental setting\nby Anna Jové (Universitat
de Barcelona) as part of Barcelona Mathematics Informal Seminar (SIMBa)\n\
nLecture held in FMI (UB): aula IA.\n\nAbstract\nRoughly speaking\, Pesin'
s theory for R^n diffeomorphisms states that the asymptotical contraction
or expansion around almost-every orbit is controlled by the Lyapunov expon
ents (as long as none of them is zero). For rational maps\, this translate
s into well-defined generic inverse branches around almost-everywhere in t
he Julia set (Przytycki). In this talk\, I will explain the previous state
ments\, and I will discuss its possible generalizations to transcendental
maps (Fagella-J.).\n
LOCATION:https://researchseminars.org/talk/SIMBa/25/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Eva Philippe (Universitat de Barcelona and Sorbonne Université)
DTSTART:20240424T110000Z
DTEND:20240424T120000Z
DTSTAMP:20260422T212609Z
UID:SIMBa/26
DESCRIPTION:Title: R
egular subdivisions and triangulations\nby Eva Philippe (Universitat d
e Barcelona and Sorbonne Université) as part of Barcelona Mathematics Inf
ormal Seminar (SIMBa)\n\nLecture held in FMI (UB): aula TBA.\n\nAbstract\n
Subdivisions and triangulations of point configurations in R^d are a centr
al topic of polyhedral combinatorics and among them regular subdivisions f
orm a particular family which enjoys special geometric properties.\n\nA su
bdivision is regular if it can be obtained by taking the lower faces of a
lifting of its vertices in one dimension higher. This lifting process was
central to improve the best known lower bound on the number of combinatori
al types of polytopes (joint work with Arnau Padrol and Francisco Santos).
\nMoreover\, it happens that among the set of all subdivisions of a fixed
point configuration\, the regular ones have a particular topological struc
ture. Indeed\, they are in correspondence with the faces of a polytope cal
led the secondary polytope.\n
LOCATION:https://researchseminars.org/talk/SIMBa/26/
END:VEVENT
END:VCALENDAR