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BEGIN:VEVENT
SUMMARY:Pietro Longhi (ETH Zurich)
DTSTART:20201007T140000Z
DTEND:20201007T150000Z
DTSTAMP:20260404T095624Z
UID:ISAMP-SISSA/1
DESCRIPTION:Title: BPS States and Geometry\nby Pietro Longhi (ETH Zurich) as p
art of SISSA's Integrable Systems and Mathematical Physics seminar\n\n\nAb
stract\nThe study of BPS states in string theory and supersymmetric gauge
theories prompted the development of new mathematical tools to analyze geo
metric properties of manifolds of various dimensions. In this talk I will
introduce the framework of exponential networks\, a novel approach to comp
uting various types of enumerative invariants of toric Calabi-Yau threefol
ds from the geometry of Riemann surfaces. The structure behind this framew
ork hinges on wall-crossing phenomena involving different kinds of BPS spe
ctra\, described by a synthesis of the wall-crossing formulae of Cecotti-V
afa and Kontsevich-Soibelman inspired by work of Gaiotto-Moore-Neitzke. Wh
ile providing an effective way to study Donaldson-Thomas invariants\, an i
nteresting byproduct of exponential networks is the prediction of unexpect
ed relations between the latter and new `3d-5d’ invariants\, as well as
(for specific geometries) knot invariants.\n
LOCATION:https://stable.researchseminars.org/talk/ISAMP-SISSA/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Giordano Cotti (Lisbon)
DTSTART:20201013T140000Z
DTEND:20201013T150000Z
DTSTAMP:20260404T095624Z
UID:ISAMP-SISSA/2
DESCRIPTION:Title: Quantum differential equations\, isomonodromic deformations\, a
nd derived categories\nby Giordano Cotti (Lisbon) as part of SISSA's I
ntegrable Systems and Mathematical Physics seminar\n\n\nAbstract\nThe quan
tum differential equation (qDE) is a rich object attached to a smooth proj
ective variety X. It is an ordinary differential equation in the complex d
omain which encodes information of the enumerative geometry of X\, more pr
ecisely its Gromov-Witten theory. Furthermore\, the asymptotic and monodro
my of its solutions conjecturally rules also the topology and complex geom
etry of X. These differential equations were introduced in the middle of t
he creative impetus for mathematically rigorous foundations of Topological
Field Theories\, Supersymmetric Quantum Field Theories and related Mirror
Symmetry phenomena. Special mention has to be given to the relation betwe
en qDE's and Dubrovin-Frobenius manifolds\, the latter being identifiable
with the space of isomonodromic deformation parameters of the former. The
study of qDE's represents a challenging active area in both contemporary
geometry and mathematical physics: it is continuously inspiring the introd
uction of new mathematical tools\, ranging from algebraic geometry\, the r
ealm of integrable systems\, the analysis of ODE's\, to the theory of inte
gral transforms and special functions. This talk will be a gentle introduc
tion to the analytical study of qDE's\, their relationship with derived ca
tegories of coherent sheaves (in both non-equivariant and equivariant sett
ings)\, and a theory of integral representations for its solutions. The ta
lk will be a survey of the results of the speaker in this research area.\n
LOCATION:https://stable.researchseminars.org/talk/ISAMP-SISSA/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Paolo Rossi (Università degli Studi di Padova)
DTSTART:20201021T140000Z
DTEND:20201021T150000Z
DTSTAMP:20260404T095624Z
UID:ISAMP-SISSA/3
DESCRIPTION:Title: (2+1)-dimensional integrable systems and moduli spaces of curve
s\nby Paolo Rossi (Università degli Studi di Padova) as part of SISSA
's Integrable Systems and Mathematical Physics seminar\n\n\nAbstract\nInte
grable systems of (1+1)-dimensional PDEs lurk in the intersection theory o
f moduli spaces of stable algebraic curves\, describing the intricate rela
tions among intersection numbers. There are at least two methods to uncove
r them: the Dubrovin-Zhang method and the double ramification hierarchy co
nstruction\, the latter due to Buryak and myself. The power of our approac
h consists in requiring weaker assumptions and in leading to a quantum int
egrable system\, whose classical limit conjecturally recovers the Dubrovin
-Zhang result (we have proven this conjecture in a wide class of examples)
. In this talk\, after a brief general introduction\, I will use a third a
dvantage of the DR construction (that\, at the classical level\, it works
for infinite rank CohFTs as well) to apply it to the intersection theory o
f the moduli space meromorphic functions and of meromorphic differentials\
, producing two (2+1)-dimensional integrable systems: a version of the KdV
equation on the Moyal torus and the celebrated KP equation.\n
LOCATION:https://stable.researchseminars.org/talk/ISAMP-SISSA/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yankı Lekili (KCL)
DTSTART:20201028T150000Z
DTEND:20201028T160000Z
DTSTAMP:20260404T095624Z
UID:ISAMP-SISSA/4
DESCRIPTION:Title: A biased view of mirror symmetry\nby Yankı Lekili (KCL) as
part of SISSA's Integrable Systems and Mathematical Physics seminar\n\n\n
Abstract\nMirror symmetry is one of the most striking developments in mode
rn mathematics whose scope extends to very different\nfields of pure math
ematics. It predicts a broad correspondence between two sub-fields of ge
ometry - symplectic geometry\nand algebraic geometry. Homological mirror s
ymmetry uses the language of triangulated categories to give a mathematica
lly\nprecise meaning to this correspondence. Since its announcement\, by K
ontsevich in ICM (1994)\, it has attracted huge attention and\nover the ye
ars several important cases of it have been established. Despite signifi
cant progress\, many central problems in\nthe field remain open. After r
eviewing the general theory\, I will survey some of my own results on mirr
or symmetry.\n\nThe seminar will be hold on line but not via ZOOM\nPlease
connect to the following address\n\nhttps://bbb.freemath.xyz/b/yan-udr-zv
u\n\nwith access code 155936\n
LOCATION:https://stable.researchseminars.org/talk/ISAMP-SISSA/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Peter Miller (University of Michigan)
DTSTART:20201216T150000Z
DTEND:20201216T160000Z
DTSTAMP:20260404T095624Z
UID:ISAMP-SISSA/5
DESCRIPTION:Title: Universal Wave Breaking in the Semiclassical Sine-Gordon Equati
on\nby Peter Miller (University of Michigan) as part of SISSA's Integr
able Systems and Mathematical Physics seminar\n\n\nAbstract\nThe sine-Gord
on equation has slowly-modulated librational wave solutions that are appro
ximated at leading-order by a Whitham averaging formalism. The Whitham mod
ulation equations are an elliptic quasilinear system whose solutions devel
op singularities in finite time. We show that when the solution of the Whi
tham system develops a generic type of gradient catastrophe singularity\,
the solution of the sine-Gordon equation locally takes on a universal form
\, independent of initial data and described in terms of the real tritronq
uée solution of the Painlevé-I equation and a two-parameter family of ex
act solutions of sine-Gordon that represent space-time localized defects o
n an otherwise periodic background wave. This is joint work with Bing-Yin
g Lu.\n
LOCATION:https://stable.researchseminars.org/talk/ISAMP-SISSA/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Gaultier Lambert
DTSTART:20201211T160000Z
DTEND:20201211T170000Z
DTSTAMP:20260404T095624Z
UID:ISAMP-SISSA/6
DESCRIPTION:Title: On the characteristic polynomial of the Gaussian β-ensemble\nby Gaultier Lambert as part of SISSA's Integrable Systems and Mathemati
cal Physics seminar\n\n\nAbstract\nThe Gaussian β-ensemble is one of the
central model in random matrix theory. Because of its integrable structure
\, it allows to describe several universal limiting laws of the eigenvalue
s of random matrices. For instance\, in a seminal work\, Ramirez-Rider-Vir
ag constructed the Airy-β process\, the scaling limit of the eigenvalues
near the spectral edge of the Gaussian β-ensemble and gave a new represen
tation for the Tracy-Widom distributions.\nIn this talk\, I intend to revi
ew this construction and present recent results on the asymptotics for the
characteristic polynomial of the Gaussian β-ensemble obtained jointly wi
th Elliot Paquette (McGill University). Our results rely on a new approach
to study the characteristic polynomial based on its recurrence.\n
LOCATION:https://stable.researchseminars.org/talk/ISAMP-SISSA/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alexey Bufetov (Bonn)
DTSTART:20201104T150000Z
DTEND:20201104T160000Z
DTSTAMP:20260404T095624Z
UID:ISAMP-SISSA/7
DESCRIPTION:Title: Random tilings and representations of classical Lie groups\
nby Alexey Bufetov (Bonn) as part of SISSA's Integrable Systems and Mathem
atical Physics seminar\n\n\nAbstract\nI will speak about a new way to anal
yze the global limit behavior of stochastic particle systems. It can be vi
ewed as a certain version of a non-commutative Fourier analysis related to
unitary groups of growing size. As applications\, several models from int
egrable probability will be discussed: models of random tilings of planar
domains\, random matrices\, and probabilistic models coming from represent
ation theory.\n
LOCATION:https://stable.researchseminars.org/talk/ISAMP-SISSA/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Du Pei (Harvard)
DTSTART:20201110T150000Z
DTEND:20201110T160000Z
DTSTAMP:20260404T095624Z
UID:ISAMP-SISSA/8
DESCRIPTION:Title: Integrability from Fivebranes\nby Du Pei (Harvard) as part
of SISSA's Integrable Systems and Mathematical Physics seminar\n\n\nAbstra
ct\nThe existence of quantum field theories in higher dimensions leads to
many interesting predictions in mathematics. In this talk\, I will survey
some recent developments in this area\, centered on the theme of integrabi
lity and its interplay with geometry and topology.\n
LOCATION:https://stable.researchseminars.org/talk/ISAMP-SISSA/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Kohei Iwaki (Tokyo)
DTSTART:20201125T120000Z
DTEND:20201125T130000Z
DTSTAMP:20260404T095624Z
UID:ISAMP-SISSA/9
DESCRIPTION:Title: Topological recursion and uncoupled BPS structure arising from
spectral curves of hypergeometric type\nby Kohei Iwaki (Tokyo) as part
of SISSA's Integrable Systems and Mathematical Physics seminar\n\n\nAbstr
act\nI'll discuss a relationship between the following two objects arising
from the spectral curves of hypergeometric differential equation and its
confluent degenerations: The free energy compute by Eynard-Orantin's topol
ogical recursion\, and BPS spectrum (degeneration of spectral networks) fo
r the corresponding quadratic differentials computed by the algorithm of G
aiotto-Moore-Neitzke / Bridgeland-Smith. In particular\, I’ll show a sim
ple formula expressing the topological recursion free energies as a sum ov
er BPS states. My talk is based on a joint work with O. Kidwai.\n
LOCATION:https://stable.researchseminars.org/talk/ISAMP-SISSA/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Daniele Valeri (Glasgow)
DTSTART:20201111T150000Z
DTEND:20201111T160000Z
DTSTAMP:20260404T095624Z
UID:ISAMP-SISSA/10
DESCRIPTION:Title: Vertex algebras in representation theory\, geometry and mathem
atical physics\nby Daniele Valeri (Glasgow) as part of SISSA's Integra
ble Systems and Mathematical Physics seminar\n\n\nAbstract\nIn this talk w
e will review some applications of vertex algebras and Poisson vertex alge
bras to representation theory\, geometry and mathematical physics. An emph
asis will be given on the notion of W-algebra which plays an important rol
e in classical and quantum integrable systems and in the representation th
eory of Yangians.\n
LOCATION:https://stable.researchseminars.org/talk/ISAMP-SISSA/10/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Govind Menon (Brown)
DTSTART:20210113T150000Z
DTEND:20210113T160000Z
DTSTAMP:20260404T095624Z
UID:ISAMP-SISSA/11
DESCRIPTION:Title: Conformal processes with branching and the Dyson superprocess<
/a>\nby Govind Menon (Brown) as part of SISSA's Integrable Systems and Mat
hematical Physics seminar\n\n\nAbstract\nVarious growth processes for conf
ormal maps with branching\, such as Diffusion Limited Aggregation (DLA) we
re suggested by physicists in the 1980s. Despite spectacular numerical sim
ulations\, there are few rigorous mathematical results in the area.\n\nI w
ill discuss a new form of stochastic Loewner evolution that is designed fo
r the study of such processes. The main new idea is to use Dyson Brownian
motion\, coupled with natural branching rules\, as the driving measure of
a Loewner evolution. The main advantage of this method is that yields new
stochastic PDE as a scaling limit.\n\nThis is joint work with Vivian Olsie
wski-Healey.\n
LOCATION:https://stable.researchseminars.org/talk/ISAMP-SISSA/11/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Nobutaka Nakazono (Tokyo University of Agriculture and Technology)
DTSTART:20210210T120000Z
DTEND:20210210T130000Z
DTSTAMP:20260404T095624Z
UID:ISAMP-SISSA/12
DESCRIPTION:Title: Special solutions to the multiplicative type discrete KdV equa
tion\nby Nobutaka Nakazono (Tokyo University of Agriculture and Techno
logy) as part of SISSA's Integrable Systems and Mathematical Physics semin
ar\n\n\nAbstract\nIn 1977\, Hirota found the autonomous 2-dimensional dif
ference-difference equation\, which is a discrete analogue of the KdV equ
ation. Then\, in 1991 Capel\, Nijhoff and Papageorgiou found its deautono
mized vesrion. The solutions of both versions have been investigated.\nIn
this talk\, we show that special solutions of its multiplicative (q-diff
erence) version are given by\n(1) solution to the q-Painleve equation of A
5-type\;\n(2) Casorati determinants whose entries are given by basic hype
rgeometric functions.\n
LOCATION:https://stable.researchseminars.org/talk/ISAMP-SISSA/12/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Danilo Lewanski (Paris)
DTSTART:20210127T150000Z
DTEND:20210127T160000Z
DTSTAMP:20260404T095624Z
UID:ISAMP-SISSA/14
DESCRIPTION:Title: Topological recursion\, matrix models\, and moduli spaces of c
urves.\nby Danilo Lewanski (Paris) as part of SISSA's Integrable Syste
ms and Mathematical Physics seminar\n\n\nAbstract\nTopological recursion c
an be thought as an algorithm that generates recursively solutions of cert
ain enumerative geometric problems. It does arise from matrix models\, alt
hough it does not necessarily need one to be run. On the other hand\, it p
rovides a system of cohomology classes on the moduli spaces of curves (oft
en a cohomological field theory). It certainly connects with integrable hi
erarchies although\, despite several results and conjectures\, the general
theory remains open. We will review and connect some recent results in th
e field\, especially about Hurwitz theory and Masur-Veech volumes.\n
LOCATION:https://stable.researchseminars.org/talk/ISAMP-SISSA/14/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Xavier Blot (Weizmann Institute of Sciences)
DTSTART:20210217T150000Z
DTEND:20210217T160000Z
DTSTAMP:20260404T095624Z
UID:ISAMP-SISSA/15
DESCRIPTION:Title: The quantum Witten-Kontsevich series.\nby Xavier Blot (Wei
zmann Institute of Sciences) as part of SISSA's Integrable Systems and Mat
hematical Physics seminar\n\n\nAbstract\nThe Witten-Kontsevich series is a
generating series of intersection numbers on the moduli space of curves.
In 2016\, Buryak\, Dubrovin\, Guéré and Rossi defined an extension of
this series using a quantization of the KdV hierarchy based on the geometr
y of double ramification cycle in M_{g\,n}. This series\, the quantum Witt
en-Konstevich series\, depends on a quantum parameter. When this quantum p
arameter vanishes\, the quantum Witten-Kontsevich series restricts to the
Witten-Kontsevich series. In this talk\, we will first construct the quant
um Witten-Kontsevich series and then present all the known results about i
ts coefficients. Surprisingly\, a part of these coefficients are expressed
in terms of Hurwitz numbers.\n
LOCATION:https://stable.researchseminars.org/talk/ISAMP-SISSA/15/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Dmitry Shepelsky (Institute for Low Temperature Physics and Engine
ering)
DTSTART:20210224T150000Z
DTEND:20210224T160000Z
DTSTAMP:20260404T095624Z
UID:ISAMP-SISSA/16
DESCRIPTION:Title: Long-time asymptotics for the integrable nonlocal nonlinear Sc
hrödinger equation\nby Dmitry Shepelsky (Institute for Low Temperatur
e Physics and Engineering) as part of SISSA's Integrable Systems and Mathe
matical Physics seminar\n\n\nAbstract\nWe study the initial value problem
for the integrable nonlocal nonlinear Schrödinger (NNLS) equation\nwith
the initial conditions of two types: \n(i) decaying at infinity initial
conditions\;\n(ii) step-like initial data: \n Our main tool is the adaptat
ion of the nonlinear steepest-decent method to \nthe study of Riemann-Hi
lbert problems associated with the NNLS equation\nwith the specified boun
dary conditions.\nIn case (i)\, our main result is that\, in contrast to t
he conventional (local) NLS equation\, the power decay rate as t goes to
infinity depends on the ratio x/t.\nFor case (ii)\, since our equation is
not translation invariant\, we \nexplore the dependence of the asymptotic
scenarios on shifts of the step-like initial data.\n
LOCATION:https://stable.researchseminars.org/talk/ISAMP-SISSA/16/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alexander Tovbis (University of Central Florida)
DTSTART:20210303T150000Z
DTEND:20210303T160000Z
DTSTAMP:20260404T095624Z
UID:ISAMP-SISSA/17
DESCRIPTION:Title: Soliton and breather gases for integrable equations\nby Al
exander Tovbis (University of Central Florida) as part of SISSA's Integrab
le Systems and Mathematical Physics seminar\n\n\nAbstract\nIn the talk we
introduce the idea of an "integrable gas" as a collection\nof large random
ensembles of special localized solutions (solitons\, \nbreathers) of a gi
ven integrable system. These special solutions can\nbe treated as "particl
es". In this talk we consider soliton and breather\ngases for the focusing
Nonlinear Schroedinger Equation (fNLS) as\nspecial thermodynamic limits
of finite gap (nonlinear multi phase wave) \nfNLS solutions. In this limit
the rate of growth of the number of bands\nis linked with the rate of (si
multaneous) shrinkage of the size of individual\nbands. This approach lead
s to the derivation of the equation of state\nfor the gas and its certain
limiting regimes (condensate\, ideal gas limits)\,\nas well as constructi
on of various interesting examples.\n
LOCATION:https://stable.researchseminars.org/talk/ISAMP-SISSA/17/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Harini Desiraju (University of Birmingham)
DTSTART:20210415T140000Z
DTEND:20210415T150000Z
DTSTAMP:20260404T095624Z
UID:ISAMP-SISSA/18
DESCRIPTION:Title: Isomonodromic tau-functions on a torus as Fredholm determinant
s and charged partitions\nby Harini Desiraju (University of Birmingham
) as part of SISSA's Integrable Systems and Mathematical Physics seminar\n
\n\nAbstract\nIn the past five years\, a surge of new techniques from diff
erent areas of mathematics and physics led to a rigorous study of the tau-
functions of isomonodromic systems on a Riemann sphere and in particular\,
the Painlevé equations. We know that the tau-functions of Painlevé VI\
, V\, III can be described as a Fredholm determinant of a combination of T
oeplitz operators called Widom constants and as a series of Conformal bloc
ks or Nekrasov functions\, the tau-function of Painlevé II can be written
as a Fredholm determinant of an integrable operator\, and the tau-functio
n of Painlevé I is described by the discrete Fourier transform of the top
ological recursion partition function for a family of elliptic curves.\n\n
\nIn this talk I will show that the isomonodromic tau-function on a torus
with Fuchsian singularities and generic monodromies can be written as a Fr
edholm determinant of Cauchy-Plemelj operators\, and its minor expansion i
s a combinatorial series labeled by charged tuples of Young diagrams. The
simplest example in this setting is a torus with one puncture associated t
o the formulation of the Painlevé VI equation as a time-dependent Hamilto
nian system with an elliptic potential\, the time being the modular parame
ter of the torus. I will show that the isomonodromic tau-function of such
a system is a Fredholm determinant described solely by hypergeometric func
tions\, and its combinatorial expression takes the form of a dual Nekrasov
-Okounkov partition function with a non-zero total charge.\n
LOCATION:https://stable.researchseminars.org/talk/ISAMP-SISSA/18/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alexander Alexandrov (IBS Center for Geometry and Physics)
DTSTART:20210505T090000Z
DTEND:20210505T100000Z
DTSTAMP:20260404T095624Z
UID:ISAMP-SISSA/19
DESCRIPTION:Title: KP integrability of triple Hodge integrals\nby Alexander A
lexandrov (IBS Center for Geometry and Physics) as part of SISSA's Integra
ble Systems and Mathematical Physics seminar\n\n\nAbstract\nIn my talk\, I
will describe a relation between the Givental group of rank one and the H
eisenberg-Virasoro symmetry group of the KP integrable hierarchy. It appea
rs that only a two-parameter family of the Givental operators can be ident
ified with elements of the Heisenberg-Virasoro symmetry group. This family
describes triple Hodge integrals satisfying the Calabi-Yau condition. Usi
ng the identification of the elements of two groups it is possible to prov
e that the generating function of triple Hodge integrals satisfying the Ca
labi-Yau condition and its $\\Theta$-version are tau-functions of the KP h
ierarchy. This generalizes the result of Kazarian on KP integrability in t
he case of linear Hodge integrals. I will also describe the relation of th
is family of tau-functions with the generalized Kontsevich matrix model. M
y talk is based on two papers\, arXiv:2009.01615 and arXiv:2009.10961.\n
LOCATION:https://stable.researchseminars.org/talk/ISAMP-SISSA/19/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Gennady El (University of Northumbria)
DTSTART:20210519T140000Z
DTEND:20210519T150000Z
DTSTAMP:20260404T095624Z
UID:ISAMP-SISSA/20
DESCRIPTION:Title: Riemann problem for the Benjamin-Bona-Mahony equation\nby
Gennady El (University of Northumbria) as part of SISSA's Integrable Syst
ems and Mathematical Physics seminar\n\n\nAbstract\nI present recent analy
tical and numerical results on the long time dynamics \nof the smoothed st
ep initial value problem or dispersive Riemann problem \nfor the Benjamin-
Bona-Mahony (BBM) equation $u_t + uu_x = u_{xxt}$. \nThe catalog of solut
ions of the dispersive Riemann problem for the BBM equation is much richer
than\nfor the related\, integrable\, Korteweg-de Vries equation and inclu
des\, along with dispersive shock waves (DSWs)\nand rarefaction waves\, th
e rich variety of nonclassical dispersive hydrodynamic solutions such as d
ispersive Lax shocks\, \nexpansion shocks\, DSW implosion regimes and inc
oherent solitary wave trains.\nThis is joint work with T. Congy\, M. Hoefe
r and M. Shearer\, arXiv:2012.14579\n
LOCATION:https://stable.researchseminars.org/talk/ISAMP-SISSA/20/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Paul Norbury (Melbourne)
DTSTART:20210512T100000Z
DTEND:20210512T110000Z
DTSTAMP:20260404T095624Z
UID:ISAMP-SISSA/21
DESCRIPTION:Title: A new cohomology class on the moduli space of curves\nby P
aul Norbury (Melbourne) as part of SISSA's Integrable Systems and Mathemat
ical Physics seminar\n\n\nAbstract\nI will define a collection of cohomolo
gy classes over the moduli space of stable Riemann surfaces which pull bac
k naturally under the forgetful map and the inclusion of lower strata. Th
ese classes have beautiful properties with conjectural relations to the Kd
V hierarchy\, the moduli space of super Riemann surfaces and to polynomial
relations among the kappa classes over the moduli space of stable Riemann
surfaces.\n
LOCATION:https://stable.researchseminars.org/talk/ISAMP-SISSA/21/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Neil O'Connel (University College\, Dublin)
DTSTART:20210518T140000Z
DTEND:20210518T150000Z
DTSTAMP:20260404T095624Z
UID:ISAMP-SISSA/22
DESCRIPTION:Title: Colloquium: From longest increasing subsequences to Whittaker
functions and random polymers\nby Neil O'Connel (University College\,
Dublin) as part of SISSA's Integrable Systems and Mathematical Physics sem
inar\n\n\nAbstract\nThe Robinson-Schensted-Knuth (RSK) correspondence is a
combinatorial bijection which plays an important role in the theory of Yo
ung tableaux and provides a natural framework for the study of longest inc
reasing subsequences in random permutations and related percolation proble
ms. In this talk I will give some background on this and then explain how
a birational version of the RSK mapping provides a similar framework for t
he study of Whittaker functions and random polymers. Based on joint works
with Ivan Corwin\, Timo Seppalainen and Nikos Zygouras.\n
LOCATION:https://stable.researchseminars.org/talk/ISAMP-SISSA/22/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Youjin Zhang (Tsinghua University)
DTSTART:20210527T090000Z
DTEND:20210527T100000Z
DTSTAMP:20260404T095624Z
UID:ISAMP-SISSA/23
DESCRIPTION:Title: Virasoro constraints for Drinfeld-Sokolov hierarchies and equa
tions of Painleve type\nby Youjin Zhang (Tsinghua University) as part
of SISSA's Integrable Systems and Mathematical Physics seminar\n\n\nAbstra
ct\nWe construct a tau cover of the generalized Drinfeld-Sokolov hierarchy
associated to an arbitrary affine Kac-Moody algebra \nwith gradations $s\
\le 1$ and derive its Virasoro symmetries. By imposing the Virasoro constr
aints we obtain solutions of the Drinfeld-Sokolov \nhierarchy of Witten-Ko
ntsevich and of Brezin-Gross-Witten types\, and of those characterized by
certain ordinary differential equations of \nPainleve type. We also show t
he existence of affine Weyl group actions on solutions of such ordinary di
fferential equations\, which generalizes \nthe theory of Noumi and Yamada
on affine Weyl group symmetries of the Painlev\\'e type equations.\n
LOCATION:https://stable.researchseminars.org/talk/ISAMP-SISSA/23/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jonatan Lenells (KTH)
DTSTART:20220117T150000Z
DTEND:20220117T160000Z
DTSTAMP:20260404T095624Z
UID:ISAMP-SISSA/24
DESCRIPTION:Title: The focusing nonlinear Schrödinger equation with step-like os
cillating background\nby Jonatan Lenells (KTH) as part of SISSA's Inte
grable Systems and Mathematical Physics seminar\n\n\nAbstract\nI will disc
uss joint work with Anne Boutet de Monvel and Dmitry Shepelsky where we st
udy the asymptotic behavior of solutions of the nonlinear Schrödinger equ
ation. More precisely\, we consider the Cauchy problem for the focusing no
nlinear Schrödinger equation with initial data approaching different plan
e waves at plus and minus infinity. Using Riemann–Hilbert techniques and
Deift-Zhou steepest descent arguments\, we study the long-time behavior o
f the solution. We show that there is a wide range of possible asymptotic
scenarios. We propose a method for rigorously establishing the existence o
f certain higher-genus asymptotic sectors\, and we compute detailed asympt
otic formulas in a genus three sector\, i.e.\, in a sector where the leadi
ng term of the asymptotics is given in terms of hyperelliptic functions at
tached to a Riemann surface of genus three.\n
LOCATION:https://stable.researchseminars.org/talk/ISAMP-SISSA/24/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Adam Doliwa (University of Warmia and Mazury)
DTSTART:20220124T150000Z
DTEND:20220124T160000Z
DTSTAMP:20260404T095624Z
UID:ISAMP-SISSA/25
DESCRIPTION:Title: On Hirota's discrete KP equation - old and new\nby Adam Do
liwa (University of Warmia and Mazury) as part of SISSA's Integrable Syste
ms and Mathematical Physics seminar\n\n\nAbstract\nIn the first part of th
e talk I would like to recall basic information on the non-abelian Hirota-
Miwa equation and on the corresponding map satisfying Zamolodchikov's tetr
ahedron condition. This includes the projective geometric interpretation o
f the Hirota map and of its multidimensional consistency\, which points ou
t towards a generalization of the map allowing for the quantum reduction.
In the second part I will show that the Hermite-Pad\\'e type I approximati
on problem leads in a natural way to Hirota's discrete KP system subject t
o an integrable constraint. Our result explains the appearence of various
ingredients of the integrable systems theory in application to multiple or
thogonal polynomials\, numerical algorithms\, random matrices\, and in oth
er branches of mathematical physics and applied mathematics where the Herm
ite-Pad\\'e approximation problem is relevant. If time permits I will show
how generalize this connection to the non-commutative level.\n
LOCATION:https://stable.researchseminars.org/talk/ISAMP-SISSA/25/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Leslie Molag (Bielefeld University)
DTSTART:20220131T150000Z
DTEND:20220131T160000Z
DTSTAMP:20260404T095624Z
UID:ISAMP-SISSA/26
DESCRIPTION:Title: On the complex elliptic Ginibre ensemble and some generalizati
ons\nby Leslie Molag (Bielefeld University) as part of SISSA's Integra
ble Systems and Mathematical Physics seminar\n\n\nAbstract\nThe complex el
liptic Ginibre ensemble allows one to interpolate between the Ginibre ense
mble and the Gaussian Unitary ensemble. It represents a determinantal poin
t process in the complex plane with corresponding kernel\, constructed wit
h planar Hermite polynomials. Our main tool is a saddle point analysis of
a single contour integral representation of this kernel. It provides a uni
fying approach to rigorously derive several known and new results of local
and global spectral statistics. In particular\, we prove rigorously some
global statistics in the elliptic Ginibre ensemble first derived by Forres
ter and Jancovici. The limiting kernel receives its main contribution from
the boundary of the limiting elliptic droplet of support.\nWe introduce a
d-complex dimensional generalization of the elliptic Ginibre ensemble\, w
hich interpolates between d-real and d-complex dimensions. In the Hermitia
n limit\, this new ensemble is related to non-interacting Fermions in a tr
ap in d-real dimensions with d-dimensional harmonic oscillator. We provide
new local bulk and edge statistics at weak and strong non-Hermiticity for
this new ensemble.\n\nThis is joint work with Gernot Akemann and Maurice
Duits.\n
LOCATION:https://stable.researchseminars.org/talk/ISAMP-SISSA/26/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Gabriel Glesner (UCLouvain)
DTSTART:20220131T160000Z
DTEND:20220131T170000Z
DTSTAMP:20260404T095624Z
UID:ISAMP-SISSA/27
DESCRIPTION:Title: Determinantal point processes conditioned on randomly incomple
te configurations\nby Gabriel Glesner (UCLouvain) as part of SISSA's I
ntegrable Systems and Mathematical Physics seminar\n\n\nAbstract\nWe consi
der a marked point process with independent binomial marks 0 and 1. In our
context of randomly incomplete configuration\, we interpret the mark 1 po
ints as detected while the mark 0 ones are unobserved. We then define the
point process consisting of the undetected particles conditioned on a fini
te observation\, i.e a finite configuration of mark 1 points.\n\nWhen the
ground process is determinantal\, so is every one of the aforementioned po
int processes. Furthermore\, important subclasses of determinantal point p
rocesses\, namely the ones induced by projections and k-integrable kernels
\, are also preserved under this conditioning. In the latter case\, the tr
ansformation can be characterised using a Riemann-Hilbert problem which ca
n be seen as a combination of the celebrated method of Its\, Izergin Korep
in and Slavnov\, with a discrete version of this method.\n\nThis is based
on joint work with Tom Claeys (UCLouvain) [https://arxiv.org/abs/2112.1064
2]\n
LOCATION:https://stable.researchseminars.org/talk/ISAMP-SISSA/27/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Pavlos Kassotakis
DTSTART:20220207T150000Z
DTEND:20220207T160000Z
DTSTAMP:20260404T095624Z
UID:ISAMP-SISSA/28
DESCRIPTION:Title: Integrable two-component systems of difference equations\n
by Pavlos Kassotakis as part of SISSA's Integrable Systems and Mathematica
l Physics seminar\n\n\nAbstract\nWe will present two lists of two-componen
t systems of integrable difference equations defined on the edges of the $
\\mathbb{Z}^2$ graph. The integrability of these systems is manifested by
their Lax formulation which is a consequence of the multi-dimensional comp
atibility of these systems. Imposing constraints consistent with the syste
ms of difference equations\, we recover known integrable quad-equations in
cluding the discrete version of the Krichever-Novikov equation. The system
s of difference equations give us\, in turn\, Yang-Baxter maps. Some of th
ese maps can be considered as particular reductions of non-abelian Yang-Ba
xter maps.\n
LOCATION:https://stable.researchseminars.org/talk/ISAMP-SISSA/28/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Balázs Pozsgay (Eötvös Loránd University)
DTSTART:20220307T150000Z
DTEND:20220307T160000Z
DTSTAMP:20260404T095624Z
UID:ISAMP-SISSA/29
DESCRIPTION:Title: Integrable cellular automata: A review of recent developments<
/a>\nby Balázs Pozsgay (Eötvös Loránd University) as part of SISSA's I
ntegrable Systems and Mathematical Physics seminar\n\n\nAbstract\nWe consi
der cellular automata on 1 dimensional lattices. These are dynamical syste
ms where both the space and time coordinate\, and also the configuration s
pace are discrete. Recently there has been considerable activity devoted t
o the solvable cases\, which show various signs of integrability. Despite
the long history of the subject\, it appears that new results were found i
n recent years\, which motivates further studies. We will focus on cellula
r automata constructed from Yang-Baxter maps\, and also on the so-called d
ual unitary circuits.\n
LOCATION:https://stable.researchseminars.org/talk/ISAMP-SISSA/29/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Vincent Caudrelier (University of Leeds)
DTSTART:20220404T140000Z
DTEND:20220404T150000Z
DTSTAMP:20260404T095624Z
UID:ISAMP-SISSA/30
DESCRIPTION:Title: Classical Yang-Baxter equation\, Lagrangian multiforms and ult
ralocal integrable hierarchies\nby Vincent Caudrelier (University of L
eeds) as part of SISSA's Integrable Systems and Mathematical Physics semin
ar\n\n\nAbstract\nThe notion of integrability for classical (field) theori
es has been almost entirely studied from the Hamiltonian point of view sin
ce the early days of the modern theory of integrable systems. In 2009\, th
e notion of Lagrangian multiform was first put forward by Lobb and Nijhoff
\nas a purely Lagrangian framework to capture integrability. The main idea
is to formulate a generalised variational principle for an action involvi
ng a certain differential form whose coefficients are interpreted as Lagra
ngians for a hierarchy. Since its proposal\, this idea has flourished in v
arious directions and I will review the main developments for classical fi
eld theories in 1+1 dimensions.\n\nTwo key ingredients are the multiform E
uler-Lagrange equations and the so-called closure relation\, both of which
derive from the generalised variational principle. In this talk\, I will
present the connection between Lagrangian multiform theory and the well-es
tablished theory of the classical r-matrix which had a purely Hamiltonian
interpretation so far. I will explain how the classical Yang-Baxter equati
on underpins the fundamental properties of a certain Lagrangian multiform
and the corresponding zero curvature equations. A large variety of known h
ierarchies are contained as special cases\, such as the Ablowitz-Kaup-Newe
ll-Segur hierarchy\, the sine-Gordon (sG) hierarchy and various hierarchie
s related to Zakharov-Mikhailov type models which contain the Faddeev-Resh
etikhin (FR) model and recently introduced deformed sigma/Gross-Neveu mode
ls as particular cases.\n\nTime permitting\, I will also illustrate the ve
rsatility of our method by showing how to construct new examples of integr
able field theories and their hierarchies by coupling integrable hierarchi
es together. We provide two examples: the coupling of the nonlinear Schrö
dinger system to the FR model and the coupling of sG with the anisotropic
FR model.\n\nThis most recent results are based on the joint work arXiv:22
01.08286 with M. Stoppato and B. Vicedo.\n
LOCATION:https://stable.researchseminars.org/talk/ISAMP-SISSA/30/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Giorgio Gubbiotti (University of Milan)
DTSTART:20220214T150000Z
DTEND:20220214T160000Z
DTSTAMP:20260404T095624Z
UID:ISAMP-SISSA/31
DESCRIPTION:Title: Co-algebra symmetry for discrete systems\nby Giorgio Gubbi
otti (University of Milan) as part of SISSA's Integrable Systems and Mathe
matical Physics seminar\n\n\nAbstract\nWe introduce the concept of coalgeb
ra symmetry for discrete systems. Then\, we use this powerful tool to prov
e Lioville integrability\, superintegrability\, and quasi-integrability of
the vector versions of some well-known one-dimensional difference equatio
ns.\n\nJoint work with Danilo Latini and Benjamin Tapley\n
LOCATION:https://stable.researchseminars.org/talk/ISAMP-SISSA/31/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Adam Doliwa (University of Warmia and Mazury)
DTSTART:20220221T150000Z
DTEND:20220221T160000Z
DTSTAMP:20260404T095624Z
UID:ISAMP-SISSA/32
DESCRIPTION:Title: On Hirota's discrete KP equation - old and new (cont.)\nby
Adam Doliwa (University of Warmia and Mazury) as part of SISSA's Integrab
le Systems and Mathematical Physics seminar\n\n\nAbstract\nIn the first pa
rt of the talk I would like to recall basic information on the non-abelian
Hirota-Miwa equation and on the corresponding map satisfying Zamolodchiko
v's tetrahedron condition. This includes the projective geometric interpre
tation of the Hirota map and of its multidimensional consistency\, which p
oints out towards a generalization of the map allowing for the quantum red
uction. In the second part I will show that the Hermite-Pad\\'e type I app
roximation problem leads in a natural way to Hirota's discrete KP system s
ubject to an integrable constraint. Our result explains the appearence of
various ingredients of the integrable systems theory in application to mul
tiple orthogonal polynomials\, numerical algorithms\, random matrices\, an
d in other branches of mathematical physics and applied mathematics where
the Hermite-Pad\\'e approximation problem is relevant. If time permits I w
ill show how generalize this connection to the non-commutative level.\n
LOCATION:https://stable.researchseminars.org/talk/ISAMP-SISSA/32/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Gaetan Borot (Humboldt University)
DTSTART:20220314T150000Z
DTEND:20220314T160000Z
DTSTAMP:20260404T095624Z
UID:ISAMP-SISSA/33
DESCRIPTION:Title: Free probability\, Hurwitz numbers and symplectic invariance\nby Gaetan Borot (Humboldt University) as part of SISSA's Integrable Sy
stems and Mathematical Physics seminar\n\n\nAbstract\nI will survey the re
lations between 1) free probability\, the theory of free cumulants and the
ir application in random matrices \; 2) combinatorics of maps with fully-s
imple boundaries\; 3) monotone Hurwitz numbers and the Fock space formalis
m\; 4) topological recursion and symplectic exchange (x\,y) -> (y\,x). In
particular\, I will discuss generalisation of free probability to all topo
logies\, and two recent results: a) all topology free cumulants of the 1-h
ermitian matrix model are computed by topological recursion for the matrix
model spectral curve after exchange of x and y\; b) functional relations
between generating series of free cumulants and moments (in all topology)\
, which resolve a problem posed fifteen years ago by Collins\, Mingo\, Sni
ady and Speicher. Based on joint works with Severin Charbonnier\, Elba Gar
cia-Failde\, Felix Leid and Sergey Shadrin.\n
LOCATION:https://stable.researchseminars.org/talk/ISAMP-SISSA/33/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Davide Masoero
DTSTART:20220228T150000Z
DTEND:20220228T160000Z
DTSTAMP:20260404T095624Z
UID:ISAMP-SISSA/34
DESCRIPTION:Title: A "proof" of the ODE/IM correspondence for the Quantum KdV mod
el.\nby Davide Masoero as part of SISSA's Integrable Systems and Mathe
matical Physics seminar\n\n\nAbstract\nThe Quantum KdV model is a conforma
l field theory\, whose hamiltonian structure is a deformation of the secon
d KdV hamiltonian structure. It is also the conformal (or scaling) limit o
f the XXZ chain and it is integrable by the Bethe Ansatz Equations.\nIn 19
98 Dorey and Tateo discovered that the Bethe roots for the ground state o
f such a model coincide with the eigenvalues of certain anharmonic oscilla
tors (ODE/IM correspondence). In 2004 Bazhanov-Lukyanov-Zamolodhchikov con
jectured that each state of the model corresponds to a "monster potential"
(a generalization of an anharmonic oscillator) whose eigenvalues coincide
with the Bethe roots.\nIn this talk I provide an outline of the proof --
conditional on the existence of a certain Puiseux series -- of the BLZ con
jecture that I have recently obtained in collaboration with Riccardo Conti
.\n
LOCATION:https://stable.researchseminars.org/talk/ISAMP-SISSA/34/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Anton M. Zeitlin
DTSTART:20220228T160000Z
DTEND:20220228T170000Z
DTSTAMP:20260404T095624Z
UID:ISAMP-SISSA/35
DESCRIPTION:Title: Spin chains and geometric structures\nby Anton M. Zeitlin
as part of SISSA's Integrable Systems and Mathematical Physics seminar\n\n
\nAbstract\nI will talk about the geometric aspects of integrable systems\
, based on Yangians and quantum groups\, known as XXX and XXZ spin chain m
odels.\nTheir "classical" limits\, the so-called Gaudin models\, are relat
ed to opers\, special classes of connections with regular singularities on
the projective line. The key objects in this relation are the Bethe equat
ions: algebraic equations\, which on one side describe the spectrum of Gau
din models\, and at the other side put constraints on the oper connections
.\nThis relation between seemingly unrelated classes of objects emerged ar
ound 20 years ago as one of the interesting examples of the geometric Lang
lands correspondence.\nIn this presentation\, I will focus on recent devel
opments\, allowing to extend this correspondence to XXX and XXZ models\, b
y introducing the necessary geometric objects\, generalizing oper connecti
on. We will start from the geometric setup\, leading to the notion of the
q-oper. After that\, I explain their relation to the spectrum of the XXX a
nd XXZ models\, generalizing the Gaudin-oper correspondence. In the end\,
I will highlight some of the applications of q-opers.\n
LOCATION:https://stable.researchseminars.org/talk/ISAMP-SISSA/35/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Pierre Lazag (SISSA)
DTSTART:20220321T150000Z
DTEND:20220321T160000Z
DTSTAMP:20260404T095624Z
UID:ISAMP-SISSA/36
DESCRIPTION:Title: Giambelli compatibility and characteristic polynomials of dete
rminantal point processes\nby Pierre Lazag (SISSA) as part of SISSA's
Integrable Systems and Mathematical Physics seminar\n\n\nAbstract\nThe Gia
mbelli Formula is the equality between a Schur function indexed by a parti
tion and the determinant of the Schur functions indexed by the hooks compo
sing the partition. Borodin-Olshanski-Strahov define Giambelli compatible
point processes to be point processes for which the Giambelli formula is s
table under averaging. Under suitable convergence condition\, this propert
y is equivalent to the validity of an explicit formula for averages of pro
ducts of ratios of characteristic polynomials. Fyodorov and Strahov proved
in the 90's that such a formula is satisfied for characteristic polynomia
ls of random matrices from the GUE or CUE. In a joint work with A.I. Bufet
ov (https://arxiv.org/abs/2111.05606)\, we prove that every determinantal
point process on the real line possessing an integrable kernel is Giambell
i compatible and that\, equivalently\, its characteristic polynomials sati
sfy the formula of Fyodorov-Strahov. I will present this result in my talk
and explain in some details the notion of Giambelli compatibility and its
connection with characteristic polynomials.\n
LOCATION:https://stable.researchseminars.org/talk/ISAMP-SISSA/36/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Promit Ghosal (MIT)
DTSTART:20220328T150000Z
DTEND:20220328T160000Z
DTSTAMP:20260404T095624Z
UID:ISAMP-SISSA/38
DESCRIPTION:Title: Probabilistic Conformal Block and Its Properties\nby Promi
t Ghosal (MIT) as part of SISSA's Integrable Systems and Mathematical Phys
ics seminar\n\n\nAbstract\nConformal blocks are fundamental ingredients of
the conformal field theory and are closely related to supersymmetric gaug
e theory. They also have intimate connections with Painleve tau functions
and limits of spiked random matrices.\n \nIn this talk\, I will demonstrat
e a probabilistic construction of the 1-point torus conformal block using
Gaussian multiplicative chaos and discuss some of its properties and conne
ctions. This talk will be based on joint works with Guillaume Remy\, Xin S
un and Yi Sun. \n \nIf time permits\, I will mention about two ongoing wor
ks: one on showing modular symmetry of the conformal blocks and the other
on showing the semiclassical limit of the conformal block.\n
LOCATION:https://stable.researchseminars.org/talk/ISAMP-SISSA/38/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Dmitrii Rachenkov (SISSA)
DTSTART:20220411T140000Z
DTEND:20220411T150000Z
DTSTAMP:20260404T095624Z
UID:ISAMP-SISSA/39
DESCRIPTION:Title: Dimer models and q-difference Painlevè equations\nby Dmit
rii Rachenkov (SISSA) as part of SISSA's Integrable Systems and Mathematic
al Physics seminar\n\n\nAbstract\nDifference Painlevè equations are famou
s discrete integrable systems\, according to H. Sakai’s classification (
2001) they are divided into three series: $d$\, $p$ and $q$. In 2018 M. Be
rshtein\, P. Gavrylenko\, and A. Marshakov have discovered cluster nature
of $q$-series equations\, i.e. it is possible to get all these equations a
s automorphisms of cluster manifolds in appropriate coordinates (= automor
phisms of quivers under mutations and permutations of vertices). Moreover\
, they noticed that almost all this quivers come from admissible dimer mod
els. In my talk I will speak about the categorification of this equations:
dynamics of equations correspond to functors of autoequivalence derived c
ategories of representations of these quivers with relations. These catego
ries are equivalent to derived categories of coherent sheaves over canonic
al bundles of del Pezzo surfaces. The presentation is based on my graduate
work under the supervision of M. Bershtein.\n
LOCATION:https://stable.researchseminars.org/talk/ISAMP-SISSA/39/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alessandro Giacchetto (IPhT)
DTSTART:20220502T140000Z
DTEND:20220502T150000Z
DTSTAMP:20260404T095624Z
UID:ISAMP-SISSA/40
DESCRIPTION:Title: The negative side of Witten’s conjecture\nby Alessandro
Giacchetto (IPhT) as part of SISSA's Integrable Systems and Mathematical P
hysics seminar\n\n\nAbstract\nIn 2017\, Norbury introduced a collection of
cohomology classes on the moduli space of curves\, and predicted that the
ir intersection with psi classes solves the KdV hierarchy. In a joint work
in progress with N. Chidambaram and E. Garcia-Failde\, we consider a defo
rmation of Norbury’s class and\, via the Givental–Teleman reconstructi
on theorem\, we express such deformation in terms of kappa classes establi
shing new tautological relations. The recursive construction of these clas
ses reduces in the limit to certain Virasoro constraints satisfied by Norb
ury’s class\, whose unique solution coincide with the Brézin–Gross–
Witten tau function of the KdV hierarchy. Time permitting\, I will explain
the higher spin generalisation of these results.\n
LOCATION:https://stable.researchseminars.org/talk/ISAMP-SISSA/40/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yuri Suris (TU Berlin)
DTSTART:20220516T140000Z
DTEND:20220516T150000Z
DTSTAMP:20260404T095624Z
UID:ISAMP-SISSA/41
DESCRIPTION:Title: New results on geometry of bilinear discretizations of quadrat
ic vector fields\nby Yuri Suris (TU Berlin) as part of SISSA's Integra
ble Systems and Mathematical Physics seminar\n\n\nAbstract\nWe discuss dyn
amics of birational maps which appear as bilinear discretizations of quadr
atic vector fields. Various aspects of integrability of birational dynamic
al systems will be discussed\, along\nwith remarkable geometric structures
and constructions behind some of the particular examples.\n
LOCATION:https://stable.researchseminars.org/talk/ISAMP-SISSA/41/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Hjalmar Rosengren (Chalmers Univeristy of Technology and Universit
y of Gothenburg)
DTSTART:20220509T140000Z
DTEND:20220509T150000Z
DTSTAMP:20260404T095624Z
UID:ISAMP-SISSA/42
DESCRIPTION:Title: XYZ correlations and Painlevé VI\nby Hjalmar Rosengren (C
halmers Univeristy of Technology and University of Gothenburg) as part of
SISSA's Integrable Systems and Mathematical Physics seminar\n\n\nAbstract\
nThe XXZ spin chain is solvable in the sense that some physical quantities
can be computed exactly in the infinite lattice limit. For a special val
ue of the so called crossing parameter the chain is supersymmetric. In thi
s case exact results can be obtained even for finite system size\, and the
re are remarkable connections to combinatorics (e.g. the alternating-sign-
matrix and Razumov-Stroganov ex-conjectures). For the more general XYZ spi
n chain\, less is known. We will describe how nearest neighbour correlatio
ns for finite length supersymmetric XYZ spin chains can be computed explic
itly in terms of tau functions of Painlevé VI. This is joint work in prog
ress with Christian Hagendorf (Louvain-la-Neuve).\n
LOCATION:https://stable.researchseminars.org/talk/ISAMP-SISSA/42/
END:VEVENT
END:VCALENDAR