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BEGIN:VEVENT
SUMMARY:Eivind Schneider (Hradec Kralove University)
DTSTART;VALUE=DATE-TIME:20200415T093000Z
DTEND;VALUE=DATE-TIME:20200415T103000Z
DTSTAMP;VALUE=DATE-TIME:20210225T141838Z
UID:PHK-cohomology-seminar/1
DESCRIPTION:Title: Differential invariants in thermodynamics\nby Eivind Sc
hneider (Hradec Kralove University) as part of Prague-Hradec Kralove semin
ar Cohomology in algebra\, geometry\, physics and statistics\n\nLecture he
ld in ZOOM meeting ID 895-276-2498.\n\nAbstract\nIt is well known that
contact geometry gives the appropriate framework for formulating thermodyn
amics: Thermodynamic states can be interpreted as Legendrian submanifolds
of a certain contact manifold. The existence of a metric on thermodynamic
states has also received some attention in the last decades. The metric ca
n be interpreted as the variance of an underlying probability measure. Les
s studied is the action of the affine group that appears naturally in this
context as the group preserving the variance. We study this group action
by finding generators of its algebra of scalar differential invariants\, w
hich intuitively can be thought of as the observables in the theory. In th
e end\, we discuss the relation between the invariants and some well-known
physical quantities in thermodynamics.\n
LOCATION:https://researchseminars.org/talk/PHK-cohomology-seminar/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Anton Galaev (Hradec Kralove University)
DTSTART;VALUE=DATE-TIME:20200422T093000Z
DTEND;VALUE=DATE-TIME:20200422T103000Z
DTSTAMP;VALUE=DATE-TIME:20210225T141838Z
UID:PHK-cohomology-seminar/2
DESCRIPTION:Title: Non-diffeomorphic Reeb foliations and modified Godbillon-Ve
y class\nby Anton Galaev (Hradec Kralove University) as part of Prague
-Hradec Kralove seminar Cohomology in algebra\, geometry\, physics and sta
tistics\n\n\nAbstract\nThe definition of the Reeb foliation depends upon t
wo real functions satisfying certain conditions. All these foliations are
pairwise homeomorphic and have trivial Godbillon-Vey class. We construct e
xplicit examples of the Reeb foliations that are not diffeomorphic. For th
is purpose we show that a modified Godbillon-Vey class defined by Losik is
non-trivial for some Reeb foliations and trivial for some other Reeb foli
ations. This characteristic class takes values in the second order frame b
undle of the leaf space of the foliation. This is a joint work with Ya. Ba
zaikin and P. Gumenyuk.\n
LOCATION:https://researchseminars.org/talk/PHK-cohomology-seminar/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Igor Khavkine (Institute of Mathematics\, Czech Academy of Scien
ces)
DTSTART;VALUE=DATE-TIME:20200429T093000Z
DTEND;VALUE=DATE-TIME:20200429T103000Z
DTSTAMP;VALUE=DATE-TIME:20210225T141838Z
UID:PHK-cohomology-seminar/3
DESCRIPTION:Title: Triangular decoupling of systems of differential equations\
, with application to separation of variables on Schwarzschild spacetime\nby Igor Khavkine (Institute of Mathematics\, Czech Academy of Scienc
es) as part of Prague-Hradec Kralove seminar Cohomology in algebra\, geome
try\, physics and statistics\n\n\nAbstract\nCertain tensor wave equations
admit a complete separation of variables on the Schwarzschild spacetime (s
tatic\, spherically symmetric black hole)\, resulting in complicated syste
ms of radial mode ODEs. The spectral theory of these systems has important
applications to the stability analysis electromagnetic and gravitational
perturbations of the black hole. However\, almost none of the important qu
estions about the radial mode equations can be answered in their original
form. I will discuss a drastic simplification of these ODE systems to spar
se upper triangular form that is directly susceptible to spectral analysis
. Essential to this simplification are geometric properties of the origina
l tensor wave equations\, ideas from homological algebra and from the theo
ry of ODEs with rational coefficients. Based on [arXiv:1711.00585\, 1801.0
9800\, 2004.09651]\n\nPlease contact the speaker or an organizer to get Zo
om livestream access information.\n
LOCATION:https://researchseminars.org/talk/PHK-cohomology-seminar/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mikhail Roop (Moscow State University)
DTSTART;VALUE=DATE-TIME:20200506T093000Z
DTEND;VALUE=DATE-TIME:20200506T103000Z
DTSTAMP;VALUE=DATE-TIME:20210225T141838Z
UID:PHK-cohomology-seminar/4
DESCRIPTION:Title: Shock waves in Euler flows of gases\nby Mikhail Roop (M
oscow State University) as part of Prague-Hradec Kralove seminar Cohomolog
y in algebra\, geometry\, physics and statistics\n\n\nAbstract\nWe study n
on-stationary 1-dimensional flows of gases described by a quasilinear syst
em of differential equations including Euler equation and continuity equat
ion. We show that equations in question essentially depend on thermodynami
cs of the medium. We represent the system by means of 2-forms on zero-jet
space and get some exact solutions by means of such a representation. The
solutions obtained are multivalued\, we find caustics and shock wave front
. The method can be applied to any thermodynamic state of the medium as we
ll as to any thermodynamic process. The talk is based on our joint paper w
ith Valentin Lychagin\, arXiv:2004.05015.\n\nPlease contact the speaker or
an organizer to get Zoom livestream access information.\n
LOCATION:https://researchseminars.org/talk/PHK-cohomology-seminar/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alexei Kotov (University Hradec Kralove)
DTSTART;VALUE=DATE-TIME:20200513T093000Z
DTEND;VALUE=DATE-TIME:20200513T103000Z
DTSTAMP;VALUE=DATE-TIME:20210225T141838Z
UID:PHK-cohomology-seminar/5
DESCRIPTION:Title: Geometry of gauge PDEs I\nby Alexei Kotov (University H
radec Kralove) as part of Prague-Hradec Kralove seminar Cohomology in alge
bra\, geometry\, physics and statistics\n\n\nAbstract\nI will show how jet
spaces and Q-bundles can be incorporated into an invariant mathematical d
escription of gauge theories.\n\nPlease contact the speaker or an organize
r to get Zoom livestream access information.\n
LOCATION:https://researchseminars.org/talk/PHK-cohomology-seminar/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Leonid Positselski (Institute of Mathematics\, Czech Academy of Sc
iences)
DTSTART;VALUE=DATE-TIME:20200401T093000Z
DTEND;VALUE=DATE-TIME:20200401T103000Z
DTSTAMP;VALUE=DATE-TIME:20210225T141838Z
UID:PHK-cohomology-seminar/6
DESCRIPTION:Title: Koszul algebras and one-dependent random 0-1 sequences\
nby Leonid Positselski (Institute of Mathematics\, Czech Academy of Scienc
es) as part of Prague-Hradec Kralove seminar Cohomology in algebra\, geome
try\, physics and statistics\n\n\nAbstract\nKoszul algebras are a natural
class of graded algebras with\nquadratic relations\, defined by a series o
f homological conditions.\nTo a Koszul algebra over a field with finite-di
mensional components\,\none can assign a one-dependent stochastic 0-1 sequ
ence\, which carries\ninformation about the dimensions of the algebra's gr
ading components.\nThis construction allows to show that the Hilbert serie
s of a Koszul\nalgebra can be extended meromorphically to the circle of do
uble radius.\nConjecturally\, such Hilbert series are meromorphic in the w
hole\ncomplex plane (and consequently\, rational).\n
LOCATION:https://researchseminars.org/talk/PHK-cohomology-seminar/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alexei Kotov (University Hradec Kralove)
DTSTART;VALUE=DATE-TIME:20200520T093000Z
DTEND;VALUE=DATE-TIME:20200520T103000Z
DTSTAMP;VALUE=DATE-TIME:20210225T141838Z
UID:PHK-cohomology-seminar/7
DESCRIPTION:Title: Geometry of gauge PDEs II\nby Alexei Kotov (University
Hradec Kralove) as part of Prague-Hradec Kralove seminar Cohomology in alg
ebra\, geometry\, physics and statistics\n\n\nAbstract\nI will show how je
t spaces and Q-bundles can be incorporated into an invariant mathematical
description of gauge theories.\n\n(This is a continuation of Alexei Koto
v's seminar from last week.)\n
LOCATION:https://researchseminars.org/talk/PHK-cohomology-seminar/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Luigi Caputi (Institute of Informatics of the Czech Academy of Sci
ences)
DTSTART;VALUE=DATE-TIME:20200610T093000Z
DTEND;VALUE=DATE-TIME:20200610T103000Z
DTSTAMP;VALUE=DATE-TIME:20210225T141838Z
UID:PHK-cohomology-seminar/8
DESCRIPTION:Title: Cyclic homology for bornological coarse spaces\nby Luig
i Caputi (Institute of Informatics of the Czech Academy of Sciences) as pa
rt of Prague-Hradec Kralove seminar Cohomology in algebra\, geometry\, phy
sics and statistics\n\n\nAbstract\nBornological coarse spaces are "large s
cale"\ngeneralizations of metric spaces (up to quasi-isometry). Homologica
l\ninvariants of such spaces are given by coarse homology theories\, which
\nare functors from the category of bornological coarse spaces to a stable
\ncocomplete ∞-category\, satisfying additional axioms. Among the main\n
examples of coarse homology theories\, there are coarse versions of\nordin
ary homology\, of topological\nand algebraic K-theory. In the talk we defi
ne G-equivariant coarse\nversions of the classical Hochschild and cyclic h
omologies (of\nalgebras). If k is a field\, the evaluation at the one poin
t space\ninduces equivalences with the classical Hochschild and cyclic hom
ology\nof k. In the equivariant setting\, the G-equivariant coarse Hochsch
ild\n(cyclic) homology of the discrete group G agrees with the classical\n
Hochschild (cyclic) homology of the associated group algebra k[G].\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Vojtech Pravda (Institute of Mathematics of the Czech Academy of S
ciences)
DTSTART;VALUE=DATE-TIME:20200527T093000Z
DTEND;VALUE=DATE-TIME:20200527T103000Z
DTSTAMP;VALUE=DATE-TIME:20210225T141838Z
UID:PHK-cohomology-seminar/9
DESCRIPTION:Title: Universal\, almost universal and related spacetimes\nby
Vojtech Pravda (Institute of Mathematics of the Czech Academy of Sciences
) as part of Prague-Hradec Kralove seminar Cohomology in algebra\, geometr
y\, physics and statistics\n\n\nAbstract\nFor universal spacetimes\, all r
ank-2 tensors constructed from the metric\, Riemann tensors\, and its cova
riant derivatives of arbitrary order are proportional to the metric. Conse
quently\, all vacuum field equations of generalized theories of gravity fo
llowing from Lagrangian constructed from the Riemann tensors and its covar
iant derivatives of arbitrary order are simultaneously satisfied. We will
present necessary and sufficient conditions for several classes of univers
al spacetimes of Lorentzian signature\, some explicit examples of such spa
cetimes\, and discuss certain useful generalizations of the universal prop
erty.\n\nContact an organizer or the speaker for Zoom connection details.
Virtual coffee starts already at 11:00 before the seminar.\n
LOCATION:https://researchseminars.org/talk/PHK-cohomology-seminar/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Petr Somberg (Charles University Prague)
DTSTART;VALUE=DATE-TIME:20200603T093000Z
DTEND;VALUE=DATE-TIME:20200603T103000Z
DTSTAMP;VALUE=DATE-TIME:20210225T141838Z
UID:PHK-cohomology-seminar/10
DESCRIPTION:Title: An approach to the representation theory of symmetric grou
ps\nby Petr Somberg (Charles University Prague) as part of Prague-Hrad
ec Kralove seminar Cohomology in algebra\, geometry\, physics and statisti
cs\n\n\nAbstract\nWe give an expository account of Vershik-Okounkov approa
ch to the representation theory of symmetric groups (based on the Gelfand-
Tsetlin basis and the Young-Jucys-Murphy elements.) If time permits\, we e
xplain some geometrical problems which lead to certain conjectural stateme
nts generalizing V-O approach.\n\nContact an organizer or the speaker for
Zoom connection details. Virtual coffee starts already at 11:00 before the
seminar.\n
LOCATION:https://researchseminars.org/talk/PHK-cohomology-seminar/10/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alexander Zuevsky (Institute of Mathematics of the Czech Academy o
f Sciences)
DTSTART;VALUE=DATE-TIME:20200617T093000Z
DTEND;VALUE=DATE-TIME:20200617T103000Z
DTSTAMP;VALUE=DATE-TIME:20210225T141838Z
UID:PHK-cohomology-seminar/11
DESCRIPTION:Title: Vertex algebra cohomology of foliations on Riemann surface
s\nby Alexander Zuevsky (Institute of Mathematics of the Czech Academy
of Sciences) as part of Prague-Hradec Kralove seminar Cohomology in algeb
ra\, geometry\, physics and statistics\n\n\nAbstract\nIn the transversal b
asis formalism\, we construct a vertex algebra cochain complex\, show its
independence on coordinates and choice of basis\, and define the vertex al
gebra cohomology for a foliation on a smooth complex curve. The first coho
mologies are determined in terms of connections and classes of extensions
of the vertex algebra. We will introduce the cohomological class\, conside
r the main example of $\\operatorname{Re} \\omega=0$ foliation on a Rieman
n surface\, and make a connection with considerations of other codimension
one examples.\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Stephen J. Watson (School of Mathematics & Statistics\, University
of Glasgow)
DTSTART;VALUE=DATE-TIME:20200624T093000Z
DTEND;VALUE=DATE-TIME:20200624T103000Z
DTSTAMP;VALUE=DATE-TIME:20210225T141838Z
UID:PHK-cohomology-seminar/12
DESCRIPTION:Title: Lorentzian Symmetry Predicts Universality Beyond Power Law
s\nby Stephen J. Watson (School of Mathematics & Statistics\, Universi
ty of Glasgow) as part of Prague-Hradec Kralove seminar Cohomology in alge
bra\, geometry\, physics and statistics\n\n\nAbstract\nThe statistical phy
sics governing phase-ordering dynamics following a symmetry breaking first
-order phase transition is an area of active research. The Coarsening/Agei
ng of the ensemble of phase domains\, wherein irreversible annihilation o
r joining of domains yields a growing characteristic domain length\, is a
omniprescent feature whose universal characteristics one would wish to und
erstand. Driven kinetic Ising models and growing nano-faceted crystals are
theoretically important examples of such Coarsening (Ageing) Dynamical Sy
stems (CDS)\, since they additionally break thermodynamic fluctuation-diss
ipation relations.\nPower-laws for the growth in time of the characteristi
c size of domains (e.g.\, lengths) of CDS\, and a concomitant {\\em scale
-invariance} of the associated length distributions\, has so frequently b
een empirically observed that their presence has acquired the status of a
principle\; the so-called Dynamic-Scaling Hypothesis. \nBut the dynamical
symmetries of a given CDS- its Coarsening Group $G$ - may include more tha
n the global spatio-temporal scalings underlying the {\\em Dynamic Scaling
Hypothesis}. \nIn this talk\, I will present a recently developed theoret
ical framework (Ref.[1]) that shows how the symmetry group G of a Coarseni
ng (ageing) Dynamical System (CDS) necessarily yields G-equivariance (cova
riance) of the CDS's universal statistical observables. We exhibit this t
heory for a variety of model systems\, of both thermodynamic and driven ty
pe\, with symmetries that may also be {/em emergent} (Ref. [2\,3]) and/or
{\\em hidden}. We will close with a magical theoretical coarsening law whi
ch reflects Lorentzian and parabolic symmetries!\n\n\nReferences:\n\n[1] L
orentzian symmetry predicts universality beyond scaling laws\,\nSJ Watson\
, EPL 118 (5)\, 56001\, (Aug.2\, 2017)\, Editor's Choice\nhttp://iopscienc
e.iop.org/article/10.1209/0295-5075/118/56001/meta\n\n[2] Emergent parabol
ic scaling of nano-faceting crystal growth\,\nStephen J. Watson\, Proc. R
. Soc. A 471: 20140560 (2015)\nhttp://rspa.royalsocietypublishing.org/cont
ent/471/2174/20140560\n\n[3] Scaling Theory and Morphometrics for a Coarse
ning Multiscale Surface\, via a Principle of Maximal Dissipation\,\nStephe
n J. Watson and Scott A. Norris\, Phys. Rev. Lett. 96\, 176103 (2006)\nhtt
p://journals.aps.org/prl/abstract/10.1103/PhysRevLett.96.176103\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Roman Golovko (Charles University)
DTSTART;VALUE=DATE-TIME:20201007T093000Z
DTEND;VALUE=DATE-TIME:20201007T103000Z
DTSTAMP;VALUE=DATE-TIME:20210225T141838Z
UID:PHK-cohomology-seminar/13
DESCRIPTION:Title: On the different perspective of the Casals-Murphy criterio
n of looseness\nby Roman Golovko (Charles University) as part of Pragu
e-Hradec Kralove seminar Cohomology in algebra\, geometry\, physics and st
atistics\n\n\nAbstract\nWe show that inside a trivial open book $\\partial
(W\\times D^2)$ with page being a Weinstein manifold $(W\, d\\theta)$\, a
ny Legendrian which is contained entirely inside a page and which intersec
ts some cocore disc transversely in a single point is loose. This leads to
the alternative proof of Casals-Murphy criterion of looseness. This is jo
int work with Georgios Dimitroglou Rizell.\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Francesco Cattafi (KU Leuven)
DTSTART;VALUE=DATE-TIME:20201014T093000Z
DTEND;VALUE=DATE-TIME:20201014T103000Z
DTSTAMP;VALUE=DATE-TIME:20210225T141838Z
UID:PHK-cohomology-seminar/14
DESCRIPTION:Title: Formal integrability of geometric structures\nby Franc
esco Cattafi (KU Leuven) as part of Prague-Hradec Kralove seminar Cohomolo
gy in algebra\, geometry\, physics and statistics\n\n\nAbstract\nA Γ-stru
cture on a manifold is a maximal atlas whose changes of coordinates take v
alues in a Lie pseudogroup Γ. Various geometric structures (e.g. symplect
ic\, complex and contact structures) fit in this framework\, but there is
no general definition of almost Γ-structure (e.g. almost symplectic\, alm
ost complex and almost contact structures) in terms of Γ. In this talk we
are going to fill this gap by introducing the general definition of an al
most Γ-structure\, and presenting a characterisation of its formal integr
ability. This will be obtained by introducing the concept of principal Pfa
ffian bundle. We will draw inspiration from the theory of PDEs\, from Pois
son geometry\, as well as from similar results in the theory of G-structur
es\, which we recover as particular cases. This is joint work with Marius
Crainic.\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Domenico Fiorenza (Università di Roma “La Sapienza”)
DTSTART;VALUE=DATE-TIME:20201021T093000Z
DTEND;VALUE=DATE-TIME:20201021T103000Z
DTSTAMP;VALUE=DATE-TIME:20210225T141838Z
UID:PHK-cohomology-seminar/15
DESCRIPTION:Title: Formally integrable complex structures on higher dimension
al knot spaces\nby Domenico Fiorenza (Università di Roma “La Sapien
za”) as part of Prague-Hradec Kralove seminar Cohomology in algebra\, ge
ometry\, physics and statistics\n\n\nAbstract\nBy the Brown-Gray’s class
ification\, there are four classes of Riemannian manifolds $M$ with parall
el $r$-fold vector cross products: $r = 1$ and $M$ a Kähler manifold\, $r
= \\dim M − 1$\, $r = 2$ and $M$ a $G_2$-manifold\, $r = 3$ and $M$ a $
Spin(7)$-manifold. For the first three classes it has been proven by Bryli
nski\, LeBrun\, and Verbitsky\, via ad hoc arguments for each of these cla
sses\, that the higher knot spaces for $M$ carry a natural formally Kähle
r structure. More recently\, Henrich provided a new proof for the $r = \\d
im M − 1$ case. In a recent work with Hông Vân Lê (arXiv:1912.05175)\
, we show how a variant of Henrich's construction can be used to provide a
uniform proof for all four classes. In particular\, this provides a proof
for the previously unknown case of $Spin(7)$-manifolds.\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Zoran Skoda (University of Zadar and University of Hradec Kralove)
DTSTART;VALUE=DATE-TIME:20201104T103000Z
DTEND;VALUE=DATE-TIME:20201104T113000Z
DTSTAMP;VALUE=DATE-TIME:20210225T141838Z
UID:PHK-cohomology-seminar/17
DESCRIPTION:Title: Gluing bundles over noncommutative flag varieties\nby
Zoran Skoda (University of Zadar and University of Hradec Kralove) as part
of Prague-Hradec Kralove seminar Cohomology in algebra\, geometry\, physi
cs and statistics\n\n\nAbstract\nLocalization functors may be used to defi
ne local covers in some\nexamples from noncommutative geometry. In an earl
ier work\, I have used\nthis technique to treat\ngluing of bundles over qu
antum flag varieties with applications to quantum group\ncoherent states a
nd representation theory. A non-flat version of this technique\nis under d
evelopment. A basic series of examples is what I call\nuniversal noncommut
ative flag varieties (including Grassmannians)\,\nwhere no "quantum" relat
ions are imposed.\nVarious classical and quantum flag varieties appear as
subvarieties. I will\npresent these the rationale behind these examples an
d of gluing technique\nfor certain special covers. Main aim is to derive e
xplicit cocycle describing\ncertain tautological bundle over a universal n
oncommutative Grassmannian\nleading to noncommutative double ratios studie
d recently\nby Retakh\, Rubtsov and Sharygin.\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Tat Dat To (UPMC Paris VI)
DTSTART;VALUE=DATE-TIME:20201118T103000Z
DTEND;VALUE=DATE-TIME:20201118T113000Z
DTSTAMP;VALUE=DATE-TIME:20210225T141838Z
UID:PHK-cohomology-seminar/18
DESCRIPTION:Title: Convergence of the Kähler-Ricci flow on varieties of gene
ral type\nby Tat Dat To (UPMC Paris VI) as part of Prague-Hradec Kralo
ve seminar Cohomology in algebra\, geometry\, physics and statistics\n\n\n
Abstract\nWe study the Kähler-Ricci flow on varieties of general type. We
show that the normalized Kähler-Ricci flow exists at all times in the se
nse of viscosity\, is continuous in an open Zariski set and converges to t
he singular Kähler-Einstein metric. This gives an answer to a question of
Feldman-Ilmanen-Knopf.\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alfonso Tortorella (KU Leuven)
DTSTART;VALUE=DATE-TIME:20210106T103000Z
DTEND;VALUE=DATE-TIME:20210106T113000Z
DTSTAMP;VALUE=DATE-TIME:20210225T141838Z
UID:PHK-cohomology-seminar/19
DESCRIPTION:Title: Deformations of symplectic foliations\nby Alfonso Tort
orella (KU Leuven) as part of Prague-Hradec Kralove seminar Cohomology in
algebra\, geometry\, physics and statistics\n\n\nAbstract\nIn this talk\,
based on joint work with Stephane Geudens and Marco Zambon\, I develop the
deformation theory of symplectic foliations\, i.e. regular foliations equ
ipped with a leaf-wise symplectic form. The main result is that each sympl
ectic foliation is attached with an $L_\\infty$ algebra controlling its de
formation problem. Indeed\, we establish a one-to-one correspondence betwe
en the small deformations of a given symplectic foliation and the MC eleme
nts of the associated $L_\\infty$ algebra. Further\, we prove that\, under
this one-to-one correspondence\, the equivalence by isotopies of symplect
ic foliations agrees with the gauge equivalence of MC elements. Finally\,
we show that the infinitesimal deformations of symplectic foliations can b
e obstructed.\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mahir Can (Tulane University)
DTSTART;VALUE=DATE-TIME:20201209T104500Z
DTEND;VALUE=DATE-TIME:20201209T114500Z
DTSTAMP;VALUE=DATE-TIME:20210225T141838Z
UID:PHK-cohomology-seminar/20
DESCRIPTION:Title: Quotients of Classical Symmetric Spaces\nby Mahir Can
(Tulane University) as part of Prague-Hradec Kralove seminar Cohomology in
algebra\, geometry\, physics and statistics\n\n\nAbstract\nIn this talk w
e will discuss some new and old results regarding the wonderful embeddings
of classical complex symmetric spaces. More precisely\, we will introduce
certain (non-arithmetic) quotients of classical symmetric spaces. Then w
e will describe their combinatorial and geometric properties in relation w
ith their wonderful embeddings. Our running example will be on the variety
of nondegenerate quadrics.\n\nNB: Start time 15 later than usual. Virtual
coffee starts on Zoom already at 11:30 before the seminar.\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alexander Alexandrov (IBS\, Center for Geometry and Physics\, Poha
ng)
DTSTART;VALUE=DATE-TIME:20201202T103000Z
DTEND;VALUE=DATE-TIME:20201202T113000Z
DTSTAMP;VALUE=DATE-TIME:20210225T141838Z
UID:PHK-cohomology-seminar/21
DESCRIPTION:Title: KP integrability of triple Hodge integrals\nby Alexand
er Alexandrov (IBS\, Center for Geometry and Physics\, Pohang) as part of
Prague-Hradec Kralove seminar Cohomology in algebra\, geometry\, physics a
nd statistics\n\n\nAbstract\nIn my talk I will describe a relation between
the Givental group of rank one and Heisenberg-Virasoro symmetry group of
the KP integrable hierarchy. In particular I will show that only a two-par
ameter family of the Givental operators can be identified with elements of
the Heisenberg-Virasoro symmetry group. This family describes triple Hodg
e integrals satisfying the Calabi-Yau condition. Using identification of t
he elements of two groups it is possible to prove that the generating func
tion of triple Hodge integrals satisfying the Calabi-Yau condition and its
$\\Theta$-version are tau-functions of the KP hierarchy. This generalizes
the result of Kazarian on KP integrability in case of linear Hodge integr
als. I will also describe the relation of this family of tau-functions wit
h the generalized Kontsevich matrix model. My talk is based on two papers\
, arXiv:2009.01615 and arXiv:2009.10961.\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Pavel Hajek (University Hamburg)
DTSTART;VALUE=DATE-TIME:20201216T103000Z
DTEND;VALUE=DATE-TIME:20201216T113000Z
DTSTAMP;VALUE=DATE-TIME:20210225T141838Z
UID:PHK-cohomology-seminar/22
DESCRIPTION:Title: Chain models of string topology coming from symplectic geo
metry\nby Pavel Hajek (University Hamburg) as part of Prague-Hradec Kr
alove seminar Cohomology in algebra\, geometry\, physics and statistics\n\
n\nAbstract\nI will recall loop spaces\, natural structures on their homol
ogy and the relation to symplectic geometry of the cotangent bundle (speci
fically to chain level structures defined by counting holomorphic curves).
I will then zoom in on the equivariant case and a chain model based on de
Rham forms and Chern-Simons theory. I will show some computations and exp
lain how this structure appears in various contexts.\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alexander Schenkel (University of Nottingham)
DTSTART;VALUE=DATE-TIME:20210113T103000Z
DTEND;VALUE=DATE-TIME:20210113T113000Z
DTSTAMP;VALUE=DATE-TIME:20210225T141838Z
UID:PHK-cohomology-seminar/23
DESCRIPTION:Title: Boundary conditions and edge modes in gauge theories\n
by Alexander Schenkel (University of Nottingham) as part of Prague-Hradec
Kralove seminar Cohomology in algebra\, geometry\, physics and statistics\
n\n\nAbstract\nThe fields of a classical gauge theory form a smooth groupo
id (aka stack) with morphisms given by gauge transformations. From this pe
rspective\, the concept of "equality" of two gauge fields $A$ and $A'$ is
not a property but rather additional data given by the choice of a gauge t
ransformation $A \\to A'$ which witnesses that $A$ and $A'$ are "the same"
. In this talk\, I will explain how this higher-categorical point of view
is useful to study gauge theories on manifolds with boundaries and defects
. In particular\, I will show that the additional data witnessing boundary
conditions are precisely the famous edge modes from physics. As examples\
, I will discuss 3d Abelian Chern-Simons theory on manifolds with boundary
\, which is physically describing the quantum Hall system\, and also the 4
d holomorphic Chern-Simons theory of Costello and Yamazaki where the edge
modes on surface defects determine 2d integrable field theories.\n\nThis t
alk is based on arXiv:1907.1065
1 and arXiv:2008.01829.
\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Wilderich Tuschmann (Karlsruhe Institute of Technology)
DTSTART;VALUE=DATE-TIME:20210224T103000Z
DTEND;VALUE=DATE-TIME:20210224T113000Z
DTSTAMP;VALUE=DATE-TIME:20210225T141838Z
UID:PHK-cohomology-seminar/24
DESCRIPTION:Title: (MODULI) SPACES OF RIEMANNIAN METRICS\nby Wilderich Tu
schmann (Karlsruhe Institute of Technology) as part of Prague-Hradec Kralo
ve seminar Cohomology in algebra\, geometry\, physics and statistics\n\n\n
Abstract\nConsider a smooth manifold with a Riemannian metric satisfying s
ome sort of curvature constraint like\, for example\, positive scalar curv
ature\, non-negative Ricci or negative sectional curvature\, being Einstei
n\, Kähler\, Sasaki\, etc. A natural question to study is then what the s
pace of all such metrics does look like. Moreover\, one can also pose this
question for corresponding moduli spaces of metrics\, i.e.\, quotients of
the former by (suitable subgroups of) the diffeomorphism group of the man
ifold\, acting by pulling back metrics.\n\nThese spaces are customarily eq
uipped with the topology of smooth convergence on compact subsets and the
quotient topology\, respectively\, and their topological properties then p
rovide the right means to measure 'how many' different metrics and geometr
ies the given manifold actually does exhibit\; but one can topologize and
view those also in very different manners.\n\nIn my talk\, I will report o
n some general results and open questions about spaces and moduli spaces o
f metrics with a focus on non-negative Ricci or sectional curvature as wel
l as other lower curvature bounds on closed and open manifolds\, and\, in
particular\, also discuss broader non-traditional approaches from metric g
eometry and analysis to these objects and topics.\n
LOCATION:
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jan Gregorovic (University Hradec Kralove)
DTSTART;VALUE=DATE-TIME:20210317T103000Z
DTEND;VALUE=DATE-TIME:20210317T113000Z
DTSTAMP;VALUE=DATE-TIME:20210225T141838Z
UID:PHK-cohomology-seminar/26
DESCRIPTION:by Jan Gregorovic (University Hradec Kralove) as part of Pragu
e-Hradec Kralove seminar Cohomology in algebra\, geometry\, physics and st
atistics\n\nAbstract: TBA\n
LOCATION:/talk/PHK-cohomology-seminar/26/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alexander Zuevsky (Institute of Mathematics\, Czech Academy of Sci
ences)
DTSTART;VALUE=DATE-TIME:20210324T103000Z
DTEND;VALUE=DATE-TIME:20210324T113000Z
DTSTAMP;VALUE=DATE-TIME:20210225T141838Z
UID:PHK-cohomology-seminar/27
DESCRIPTION:by Alexander Zuevsky (Institute of Mathematics\, Czech Academy
of Sciences) as part of Prague-Hradec Kralove seminar Cohomology in algeb
ra\, geometry\, physics and statistics\n\nAbstract: TBA\n
LOCATION:/talk/PHK-cohomology-seminar/27/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Georgy Sharygin (Moscow State University Lomonosov)
DTSTART;VALUE=DATE-TIME:20210331T093000Z
DTEND;VALUE=DATE-TIME:20210331T103000Z
DTSTAMP;VALUE=DATE-TIME:20210225T141838Z
UID:PHK-cohomology-seminar/28
DESCRIPTION:Title: Around the noncommutative cross ratio\nby Georgy Shary
gin (Moscow State University Lomonosov) as part of Prague-Hradec Kralove s
eminar Cohomology in algebra\, geometry\, physics and statistics\n\nAbstra
ct: TBA\n
LOCATION:/talk/PHK-cohomology-seminar/28/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Tobias Fritz (University of Innsbruck\, Austria)
DTSTART;VALUE=DATE-TIME:20210407T093000Z
DTEND;VALUE=DATE-TIME:20210407T103000Z
DTSTAMP;VALUE=DATE-TIME:20210225T141838Z
UID:PHK-cohomology-seminar/29
DESCRIPTION:by Tobias Fritz (University of Innsbruck\, Austria) as part of
Prague-Hradec Kralove seminar Cohomology in algebra\, geometry\, physics
and statistics\n\nAbstract: TBA\n
LOCATION:/talk/PHK-cohomology-seminar/29/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Marco Benini (University of Genoa)
DTSTART;VALUE=DATE-TIME:20210414T093000Z
DTEND;VALUE=DATE-TIME:20210414T103000Z
DTSTAMP;VALUE=DATE-TIME:20210225T141838Z
UID:PHK-cohomology-seminar/30
DESCRIPTION:by Marco Benini (University of Genoa) as part of Prague-Hradec
Kralove seminar Cohomology in algebra\, geometry\, physics and statistics
\n\nAbstract: TBA\n
LOCATION:/talk/PHK-cohomology-seminar/30/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Michael Reiterer (Hebrew University of Jerusalem)
DTSTART;VALUE=DATE-TIME:20210421T093000Z
DTEND;VALUE=DATE-TIME:20210421T103000Z
DTSTAMP;VALUE=DATE-TIME:20210225T141838Z
UID:PHK-cohomology-seminar/31
DESCRIPTION:by Michael Reiterer (Hebrew University of Jerusalem) as part o
f Prague-Hradec Kralove seminar Cohomology in algebra\, geometry\, physics
and statistics\n\nAbstract: TBA\n
LOCATION:/talk/PHK-cohomology-seminar/31/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jérémie Joudioux (Albert Einstein Institute\, Golm)
DTSTART;VALUE=DATE-TIME:20210428T093000Z
DTEND;VALUE=DATE-TIME:20210428T103000Z
DTSTAMP;VALUE=DATE-TIME:20210225T141838Z
UID:PHK-cohomology-seminar/32
DESCRIPTION:by Jérémie Joudioux (Albert Einstein Institute\, Golm) as pa
rt of Prague-Hradec Kralove seminar Cohomology in algebra\, geometry\, phy
sics and statistics\n\nAbstract: TBA\n
LOCATION:/talk/PHK-cohomology-seminar/32/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Hong Van Le (Institute of Mathematics of the Czech Academy of Scie
nces)
DTSTART;VALUE=DATE-TIME:20210310T103000Z
DTEND;VALUE=DATE-TIME:20210310T113000Z
DTSTAMP;VALUE=DATE-TIME:20210225T141838Z
UID:PHK-cohomology-seminar/33
DESCRIPTION:Title: Diffeological statistical models and diffeological Hausdor
ff measures\nby Hong Van Le (Institute of Mathematics of the Czech Aca
demy of Sciences) as part of Prague-Hradec Kralove seminar Cohomology in a
lgebra\, geometry\, physics and statistics\n\n\nAbstract\nIn my talk I sh
all first explain the concept of diffeological spaces introduced
by Souriau. Then I shall explain how to use this concept to en
dow natural smooth structures on subsets of probability measures on an
arbitrary measurable space. I shall discuss the concept of the d
iffeological Fisher metric and the resulting notion of the diffeologica
l Hausdorff measure that are categorically natural\, and meaningful
for statistical estimations used in statistical physics and data anal
ysis.\n \n My talk is based on my paper and my jo
int paper with Alexei Tuzhilin.\n
LOCATION:/talk/PHK-cohomology-seminar/33/
END:VEVENT
END:VCALENDAR