BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//CERN//INDICO//EN
BEGIN:VEVENT
SUMMARY:Modularity of Conifold Fibers in some Hypergeometric Families (in
person)
DTSTART;VALUE=DATE-TIME:20211202T095000Z
DTEND;VALUE=DATE-TIME:20211202T104000Z
DTSTAMP;VALUE=DATE-TIME:20220930T103400Z
UID:indico-contribution-5973@indico.math.cnrs.fr
DESCRIPTION:Speakers: Vasily Golyshev (IITP RAS Moscow & IHES)\n\nI will e
xplain how the computational technique of fibered motives can be used to o
btain modularity proofs for certain conifold fibers in Calabi-Yau families
(joint with Don Zagier\, and with Kilian Bönisch and Albrecht Klemm).\n\
nhttps://indico.math.cnrs.fr/event/7040/contributions/5973/
LOCATION:Centre de conférences Marilyn et James Simons (Le Bois-Marie)
URL:https://indico.math.cnrs.fr/event/7040/contributions/5973/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Noncommutative Wick Polynomials (in person)
DTSTART;VALUE=DATE-TIME:20211202T090000Z
DTEND;VALUE=DATE-TIME:20211202T095000Z
DTSTAMP;VALUE=DATE-TIME:20220930T103400Z
UID:indico-contribution-5972@indico.math.cnrs.fr
DESCRIPTION:Speakers: Frédéric Patras (CNRS/Université Côte d'Azur)\n\
nWick polynomials are at the foundations of QFT (they encode normal orderi
ngs) and probability (they encode chaos decompositions). In this lecture\,
we survey the construction and properties of noncommutative (or free) ana
logs using shuffle\nHopf algebra techniques. Based on joint works with K.
Ebrahimi-Fard\, N. Tapia and L. Zambotti.\n\nhttps://indico.math.cnrs.fr/e
vent/7040/contributions/5972/
LOCATION:Centre de conférences Marilyn et James Simons (Le Bois-Marie)
URL:https://indico.math.cnrs.fr/event/7040/contributions/5972/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Some New Taylor-BKAR Formulas (in person)
DTSTART;VALUE=DATE-TIME:20211201T090000Z
DTEND;VALUE=DATE-TIME:20211201T095000Z
DTSTAMP;VALUE=DATE-TIME:20220930T103400Z
UID:indico-contribution-5965@indico.math.cnrs.fr
DESCRIPTION:Speakers: Léonard Ferdinand and Vincent Rivasseau (Lab. de ph
ysique des deux infinis Irène Joliot-Curie\, Université Paris-Saclay)\n\
nWe here introduce some combinatorial and analytic tools\, conceived to ma
ke possible to perform new expansions in the context of constructive field
theory and multiscale analysis. These formulas generalize the idea of per
forming cluster expansion using a sum indexed by forest to the case of a T
aylor expansion of order more than zero. They are expected to help constru
ct new field theories of the matrices and tensors type.\n\nhttps://indico.
math.cnrs.fr/event/7040/contributions/5965/
LOCATION:Centre de conférences Marilyn et James Simons (Le Bois-Marie)
URL:https://indico.math.cnrs.fr/event/7040/contributions/5965/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Towards Executable Applied Category Theory in Coq (Remote)
DTSTART;VALUE=DATE-TIME:20211130T090000Z
DTEND;VALUE=DATE-TIME:20211130T095000Z
DTSTAMP;VALUE=DATE-TIME:20220930T103400Z
UID:indico-contribution-5958@indico.math.cnrs.fr
DESCRIPTION:Speakers: Nicolas Behr (CNRS\, Université de Paris\, IRIF)\n\
nThis talk will present the ”coreact.wiki” initiative\, which aims to
develop a novel form of wiki engine that will couple a database of human-r
eadable mathematical knowledge with a database containing machine-readable
and -executable representations of this knowledge in proof assistants suc
h as Coq. For the concrete example of analytic combinatorics à la Flajole
t and Sedgewick\, I will provide an overview of the types of statements th
at can be efficiently formalized in Coq at present and in the near future\
, and how we plan to provide an interactive web-based interface to the ”
coreact.wiki” platform based upon jsCoq to permit computations and forma
l proofs in a user-friendly fashion. Time permitting\, I will also sketch
the possibility of extracting prototypical reference algorithms from forma
lized categorical statements in Coq via the use of SMT solvers.\n\nhttps:/
/indico.math.cnrs.fr/event/7040/contributions/5958/
LOCATION:Centre de conférences Marilyn et James Simons (Le Bois-Marie)
URL:https://indico.math.cnrs.fr/event/7040/contributions/5958/
END:VEVENT
BEGIN:VEVENT
SUMMARY:A Functorial Excursion between Algebraic Geometry and Linear Logic
(in person)
DTSTART;VALUE=DATE-TIME:20211201T095000Z
DTEND;VALUE=DATE-TIME:20211201T104000Z
DTSTAMP;VALUE=DATE-TIME:20220930T103400Z
UID:indico-contribution-5974@indico.math.cnrs.fr
DESCRIPTION:Speakers: Paul-André Melliès (CNRS\, Université de Paris)\n
\nIn this talk\, I will use the functor of points approach to Algebraic Ge
ometry to establish that every covariant presheaf X on the category of com
mutative rings — and in particular every scheme X — comes equipped “
above it” with a symmetric monoidal closed category PshModX of presheave
s of modules. This category PshModX defines moreover a model of intuitioni
stic linear logic\, whose exponential modality is obtained by glueing toge
ther in an appropriate way the Sweedler dual construction on ring algebras
. The purpose of this work is to explore the idea that linear logic is a l
ogic of generalised vector bundles\, in the same way as dependent type the
ory is understood today as a logic of spaces up to homotopy.\n\nhttps://in
dico.math.cnrs.fr/event/7040/contributions/5974/
LOCATION:Centre de conférences Marilyn et James Simons (Le Bois-Marie)
URL:https://indico.math.cnrs.fr/event/7040/contributions/5974/
END:VEVENT
BEGIN:VEVENT
SUMMARY:A Tropical Version of Hilbert Polynomial (remote)
DTSTART;VALUE=DATE-TIME:20211202T130000Z
DTEND;VALUE=DATE-TIME:20211202T135000Z
DTSTAMP;VALUE=DATE-TIME:20220930T103400Z
UID:indico-contribution-5975@indico.math.cnrs.fr
DESCRIPTION:Speakers: Dimitri Grigoryev (CNRS Painlevé Lab\, Univ. Lille)
\n\nWe define Hilbert function of a semiring ideal of tropical polynomials
in n variables. For $n = 1$ we prove that it is the sum of a linear funct
ion and a periodic function (for sufficiently large values). The leading c
oefficient of the linear function equals the tropical entropy of the ideal
. For an arbitrary n we discuss a conjecture that the tropical Hilbert fun
ction of a radical ideal is a polynomial of degree at most $n − 1$ (for
sufficiently large values). For $n = 1$ the conjecture is true\, also we h
ave proved it for zero- dimensional ideals and for planar tropical curves.
\n\nhttps://indico.math.cnrs.fr/event/7040/contributions/5975/
LOCATION:Centre de conférences Marilyn et James Simons (Le Bois-Marie)
URL:https://indico.math.cnrs.fr/event/7040/contributions/5975/
END:VEVENT
BEGIN:VEVENT
SUMMARY:How to Conjecture and Prove that the Generating Function of the Ya
ng- Zagier Numbers is Algebraic (in person)
DTSTART;VALUE=DATE-TIME:20211201T135000Z
DTEND;VALUE=DATE-TIME:20211201T144000Z
DTSTAMP;VALUE=DATE-TIME:20220930T103400Z
UID:indico-contribution-5969@indico.math.cnrs.fr
DESCRIPTION:Speakers: Sergey Yurkevich (University of Vienna & INRIA)\n\nI
n a recent paper Don Zagier mentions a mysterious integer sequence $(a_{n}
)_{n≥0}$ which arises from a solution of a topological ODE discovered by
Marco Bertola\, Boris Dubrovin and Di Yang. In my talk I show how to conj
ecture\, prove and even quantify that $(a_{n})_{n≥0}$ actually admits an
algebraic generating function which is therefore a very particular period
. The methods are based on experimental mathematics and algorithmic ideas
in differential Galois theory\, which I will show in the interactive part
of the talk. The presentation is based on joint work with A. Bostan and J.
-A. Weil.\n\nhttps://indico.math.cnrs.fr/event/7040/contributions/5969/
LOCATION:Centre de conférences Marilyn et James Simons (Le Bois-Marie)
URL:https://indico.math.cnrs.fr/event/7040/contributions/5969/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Enumeration and Generation of Young Tableaux with Walls: the Densi
ty Method (in person)
DTSTART;VALUE=DATE-TIME:20211202T110000Z
DTEND;VALUE=DATE-TIME:20211202T115000Z
DTSTAMP;VALUE=DATE-TIME:20220930T103400Z
UID:indico-contribution-5966@indico.math.cnrs.fr
DESCRIPTION:Speakers: Cyril Banderier (CNRS & LIPN\, Paris-North Universit
y)\n\nWe consider a generalization of Young tableaux in which we allow som
e consecutive pairs of cells with decreasing labels\, conveniently visuali
zed by a ”wall” between the corresponding cells. This leads to new cla
sses of recurrences\, and to a surprisingly rich zoo of generating functio
ns (algebraic\, hypergeometric\, D-finite\, differentially-algebraic). Som
e patterns lead to nice bijections with trees\, lattice paths\, or permuta
tions. Our approach relies on the density method\, a powerful way to perfo
rm both uniform random generation and enumeration. It finds its origins in
number theory (values of the zeta function\, with a Kontsevich-Zagier per
iod point of view) and in poset theory (volume of polytopes). We also appl
y this approach to describe the asymptotic fluctuations of the limit surfa
ce of Young tableaux.\nBased on several articles with Philippe Marchal and
Michael Wallner.\n\nhttps://indico.math.cnrs.fr/event/7040/contributions/
5966/
LOCATION:Centre de conférences Marilyn et James Simons (Le Bois-Marie)
URL:https://indico.math.cnrs.fr/event/7040/contributions/5966/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Anomalous Statistics of Extreme Random Processes (in person)
DTSTART;VALUE=DATE-TIME:20211201T150000Z
DTEND;VALUE=DATE-TIME:20211201T155000Z
DTSTAMP;VALUE=DATE-TIME:20220930T103400Z
UID:indico-contribution-5970@indico.math.cnrs.fr
DESCRIPTION:Speakers: Sergei Nechaev (Poncelet Laboratory Moscow)\n\nI pla
n to discuss three problems of extremal statistics in which unusual (but r
elated to each other) features arise:\na) statistics of two-dimensional
”stretched” random walks above a semicircle\,\nb) spectral properties
of sparse random matrices\,\nc) statistics of one-dimensional paths in the
Poissonian field of traps. I will pay attention to the relationship of th
ese problems with the Anderson localization in 1D\, and with some number-t
heoretic properties of eta-Dedekind function.\n\nhttps://indico.math.cnrs.
fr/event/7040/contributions/5970/
LOCATION:Centre de conférences Marilyn et James Simons (Le Bois-Marie)
URL:https://indico.math.cnrs.fr/event/7040/contributions/5970/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Geometry\, Matter and Physics (in person)
DTSTART;VALUE=DATE-TIME:20211201T110000Z
DTEND;VALUE=DATE-TIME:20211201T115000Z
DTSTAMP;VALUE=DATE-TIME:20220930T103400Z
UID:indico-contribution-5967@indico.math.cnrs.fr
DESCRIPTION:Speakers: Richard Kerner (LPTMC\, Sorbonne-Université)\n\nWe
show how the fundamental statistical properties of quantum fields combined
with the superposition principle lead to continuous symmetries including
the $SL(2\, C)$ group and the internal symmetry groups $SU(2)$ and $SU(3)$
. The exact colour symmetry is related to ternary $Z_{3}$-graded generaliz
ation of the fermionic commutation relations for quarks. A $Z_{3}$-graded
generalization of the Dirac equation is presented\, and its invariance pro
perties are analyzed. They lead to an enlarged $Z_{3}$-graded Lorentz grou
p\, operating in the Hilbert space of quark states including flavors and g
enerations.\n\nhttps://indico.math.cnrs.fr/event/7040/contributions/5967/
LOCATION:Centre de conférences Marilyn et James Simons (Le Bois-Marie)
URL:https://indico.math.cnrs.fr/event/7040/contributions/5967/
END:VEVENT
BEGIN:VEVENT
SUMMARY:On the Solutions of Knizhnik-Zamolodchikov Differential Equations
by Noncommutative Picard-Vessiot Theory (in person)
DTSTART;VALUE=DATE-TIME:20211202T150000Z
DTEND;VALUE=DATE-TIME:20211202T155000Z
DTSTAMP;VALUE=DATE-TIME:20220930T103400Z
UID:indico-contribution-5962@indico.math.cnrs.fr
DESCRIPTION:Speakers: Vincel Hoang Ngoc Minh (LIPN\, Paris-North Universit
y)\n\nIn this talk\, basing on the algebraic combinatorics on noncommutati
ve formal power series with holomorphic coefficients and\, on the other ha
nd\, a Picard-Vessiot theory of noncommutative differential equations\, we
give a recursive construction of solutions of the Knizhnik-Zamolodchikov
equations satisfying asymptotic conditions.\n\nhttps://indico.math.cnrs.fr
/event/7040/contributions/5962/
LOCATION:Centre de conférences Marilyn et James Simons (Le Bois-Marie)
URL:https://indico.math.cnrs.fr/event/7040/contributions/5962/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Maximally Dense Sphere Packings (Remote)
DTSTART;VALUE=DATE-TIME:20211130T095000Z
DTEND;VALUE=DATE-TIME:20211130T104000Z
DTSTAMP;VALUE=DATE-TIME:20220930T103400Z
UID:indico-contribution-5959@indico.math.cnrs.fr
DESCRIPTION:Speakers: Thomas Fernique (CNRS & LIPN\, Paris-North Universit
y)\n\nIt is well known that to cover the greatest proportion of the Euclid
ean plane with identical disks\, we have to center these disks in a triang
ular grid. This problem can be generalized in two directions: in higher di
mensions or with different sizes of disks. The first direction has been th
e most studied (for example\, in dimension 3\, the Kepler’s conjecture w
as proved by Hales and Ferguson in 1998). In this talk\, we will rather fo
cus on the second direction\, in particular on the cases of two or three d
isc sizes. We will survey recent results for a large audience.\n\nhttps://
indico.math.cnrs.fr/event/7040/contributions/5959/
LOCATION:Centre de conférences Marilyn et James Simons (Le Bois-Marie)
URL:https://indico.math.cnrs.fr/event/7040/contributions/5959/
END:VEVENT
BEGIN:VEVENT
SUMMARY:String Cones and Cluster Varieties (Remote)
DTSTART;VALUE=DATE-TIME:20211130T150000Z
DTEND;VALUE=DATE-TIME:20211130T155000Z
DTSTAMP;VALUE=DATE-TIME:20220930T103400Z
UID:indico-contribution-5963@indico.math.cnrs.fr
DESCRIPTION:Speakers: Bea Schumann (University of Cologne)\n\nWe study def
ining inequalities of string cones via a potential function on a reduced d
ouble Bruhat cell. We give a necessary criterion for the potential functio
n to provide a minimal set of inequalities via tropicalization and conject
ure an equivalence. This is based on joint work with Gleb Koshevoy.\n\nhtt
ps://indico.math.cnrs.fr/event/7040/contributions/5963/
LOCATION:Centre de conférences Marilyn et James Simons (Le Bois-Marie)
URL:https://indico.math.cnrs.fr/event/7040/contributions/5963/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Crystal Operators on Cluster Algebras (Remote)
DTSTART;VALUE=DATE-TIME:20211130T135000Z
DTEND;VALUE=DATE-TIME:20211130T144000Z
DTSTAMP;VALUE=DATE-TIME:20220930T103400Z
UID:indico-contribution-5977@indico.math.cnrs.fr
DESCRIPTION:Speakers: Volker Genz (IBS CGP)\n\nCrystal operators on canoni
cal bases as introduced by Kashiwara/Lusztig provide in particular a toolb
ox to compute within the category of finite dimensional representations of
finite dimensional simple Lie algebras. Motivated by this we introduce ce
rtain operators on the lattice of tropical points of mirror dual A- and X-
cluster spaces. In particular\, this yields a crystal-like structure on th
e canonical basis due to Gross-Hacking-Keel-Kontsevich. We expect these op
erators to have a wider range of applications in the theory of cluster alg
ebras and in physics. This is partially based on joint work with Gleb Kosh
evoy and Bea Schumann.\n\nhttps://indico.math.cnrs.fr/event/7040/contribut
ions/5977/
LOCATION:Centre de conférences Marilyn et James Simons (Le Bois-Marie)
URL:https://indico.math.cnrs.fr/event/7040/contributions/5977/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ambitropical Convexity\, Mean Payoff Games and Nonarchimedean Conv
ex Programming (in person)
DTSTART;VALUE=DATE-TIME:20211202T135000Z
DTEND;VALUE=DATE-TIME:20211202T144000Z
DTSTAMP;VALUE=DATE-TIME:20220930T103400Z
UID:indico-contribution-5976@indico.math.cnrs.fr
DESCRIPTION:Speakers: Stéphane Gaubert (INRIA & Ecole Polytechnique)\n\nC
onvex sets can be defined over ordered fields with a non-archimedean valua
tion. Then\, tropical convex sets arise as images by the valuation of non-
archimedean convex sets. The tropicalization of polyhedra and spectrahedra
can be described in terms of deterministic and stochastic games with mean
payoff\, being characterized in terms of sub or super-fixed point sets of
Shapley operators\, which determine the value of the game. This is motiva
ted by open complexity issues in linear programming. We shall discuss here
especially a generalization of tropical convexity: considering fixed poin
t sets of Shapley operators\, instead of sub or super-fixed points sets\,
leads to a richer “ambitropical” theory\, which includes tropical conv
exity and its dual in a unified framework. We shall present several charac
terizations of ambitropical convex sets\, with features related to normed
spaces (nonexpansive retracts and hyperconvexity)\, lattice theory (order
preserving retracts)\, or of a combinatorial nature (cell decompositions i
n alcoved polyhedra).\nThe results on ambitropical convexity is from a wor
k with Akian and Vannucci\; the ones on the tropicalization of nonarchimed
ean convex sets are from works with Allamigeon\, Benchimol\, Joswig and Sk
omra.\n\nhttps://indico.math.cnrs.fr/event/7040/contributions/5976/
LOCATION:Centre de conférences Marilyn et James Simons (Le Bois-Marie)
URL:https://indico.math.cnrs.fr/event/7040/contributions/5976/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Asymptotic Distribution of Parameters in Trivalent Maps and Linear
Lambda Terms (in person)
DTSTART;VALUE=DATE-TIME:20211201T130000Z
DTEND;VALUE=DATE-TIME:20211201T135000Z
DTSTAMP;VALUE=DATE-TIME:20220930T103400Z
UID:indico-contribution-5968@indico.math.cnrs.fr
DESCRIPTION:Speakers: Alexandros Singh (LIPN\, Paris-North University)\n\n
Structural properties of large random maps and lambda-terms may be gleaned
by studying the limit distributions of various parameters of interest. In
our work we focus on restricted classes of maps and their counterparts in
the lambda-calculus\, building on recent bijective connections between th
ese two domains. In such cases\, parameters in maps naturally correspond t
o parameters in lambda-terms and vice versa. By an interplay between lambd
a-terms and maps\, we obtain various combinatorial specifications which al
low us to access the distributions of pairs of related parameters such as:
the number of bridges in rooted trivalent maps and of subterms in closed
linear lambda-terms\, the number of vertices of degree 1 in (1\,3)-valent
maps and of free variables in open linear lambda-terms etc. To analyse asy
mptotically these distributions\, we introduce appropriate tools: a moment
-pumping schema for differential equations and a composition schema inspir
ed by Bender’s theorem.\nJoint work with Olivier Bodini and Noam Zeilber
ger.\n\nhttps://indico.math.cnrs.fr/event/7040/contributions/5968/
LOCATION:Centre de conférences Marilyn et James Simons (Le Bois-Marie)
URL:https://indico.math.cnrs.fr/event/7040/contributions/5968/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Noncommutative Birational Rowmotion on Rectangles (Remote)
DTSTART;VALUE=DATE-TIME:20211130T130000Z
DTEND;VALUE=DATE-TIME:20211130T135000Z
DTSTAMP;VALUE=DATE-TIME:20220930T103400Z
UID:indico-contribution-5961@indico.math.cnrs.fr
DESCRIPTION:Speakers: Darij Grinberg (Drexel University)\n\nThe operation
of birational rowmotion on a finite poset has been a mainstay in dynamical
algebraic combinatorics for the last 8 years.\nSince 2015\, it is known t
hat for a rectangular poset of the form $[p] \\times [q]$\, this operation
is periodic with period $p + q$. (This result\, as has been observed by M
ax Glick\, is equivalent to Zamolodchikov’s periodicity conjecture in ty
pe AA\, proved by Volkov.)\nIn this talk\, I will outline a proof (joint w
ork with Tom Roby) of a noncommutative generalization of this result. The
generalization does not quite extend to the full generality one could hope
for it covers noncommutative rings\, but not semirings\; however\, the pr
oof is novel and simpler than the original commutative one. Extending this
to semirings and to other posets is work in progress.\n\nhttps://indico.m
ath.cnrs.fr/event/7040/contributions/5961/
LOCATION:Centre de conférences Marilyn et James Simons (Le Bois-Marie)
URL:https://indico.math.cnrs.fr/event/7040/contributions/5961/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Distance\, Strong Convexity\, Flagness\, and Associahedra (in pers
on)
DTSTART;VALUE=DATE-TIME:20211202T155000Z
DTEND;VALUE=DATE-TIME:20211202T164000Z
DTSTAMP;VALUE=DATE-TIME:20220930T103400Z
UID:indico-contribution-5978@indico.math.cnrs.fr
DESCRIPTION:Speakers: Lionel Pournin (LIPN\, Paris-North University)\n\nOn
e can always transform a triangulation of a convex polygon into another by
performing a sequence of edge flips\, which amounts to follow a path in t
he graph G of the associahedron. The least number of flips required to do
so is then a distance in that graph whose estimation is instrumental in a
variety of contexts\, as for instance in computational biology\, in comput
er science\, or in algebraic topology. On the other hand\, it is known tha
t paths in G correspond to a certain kind of 3-dimensional triangulation.
This talk is about the recent proof that these 3-dimensional triangulation
s are flag when the corresponding path is a geodesic. This result\, that p
rovides a new powerful tool to study the geometry of G\, can be thought of
as a 3-dimensional analogue of a well-known strong convexity property of
G. Several consequences on the computation of distances in G and on strong
convexity in related graphs will be discussed. This talk is based on join
t work with Zili Wang (Dartmouth College).\n\nhttps://indico.math.cnrs.fr/
event/7040/contributions/5978/
LOCATION:Centre de conférences Marilyn et James Simons (Le Bois-Marie)
URL:https://indico.math.cnrs.fr/event/7040/contributions/5978/
END:VEVENT
BEGIN:VEVENT
SUMMARY:An Update on Algebraic Hypergeometric Series (Remote)
DTSTART;VALUE=DATE-TIME:20211201T155000Z
DTEND;VALUE=DATE-TIME:20211201T164000Z
DTSTAMP;VALUE=DATE-TIME:20220930T103400Z
UID:indico-contribution-5971@indico.math.cnrs.fr
DESCRIPTION:Speakers: Maxim Kontsevich (IHES)\n\nAlgebraic hypergeometric
series in one variable were classified in 1989 by F. Beukers and G. Heckma
n\, in terms of finite complex reflection groups. Recently\, K. Penson obs
erved that one of such series is a generating series of a probability dens
ity with compact support\, given again by an algebraic function. Then toge
ther with N. Behr\, G. Duchamp and G. Koshevoy\, we found that this is a g
eneral phenomenon. The proof is an immediate application on an explicit in
tegral by Bateman and Erdélyi.The probability density is so called Meijer
’s G-function\, which the unique solution of the hypergeometric differen
tial equation with the pure ramification at point 1. I will speak about it
\, and also on the genus zero property of the corresponding planar algebra
ic curve.\n\nhttps://indico.math.cnrs.fr/event/7040/contributions/5971/
LOCATION:Centre de conférences Marilyn et James Simons (Le Bois-Marie)
URL:https://indico.math.cnrs.fr/event/7040/contributions/5971/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Conjectural Enumerations of Trimer Covers of Finite Subgraphs of t
he Triangular Lattice (Remote)
DTSTART;VALUE=DATE-TIME:20211130T155000Z
DTEND;VALUE=DATE-TIME:20211130T164000Z
DTSTAMP;VALUE=DATE-TIME:20220930T103400Z
UID:indico-contribution-6010@indico.math.cnrs.fr
DESCRIPTION:Speakers: James Propp (Umass Lowell)\n\nThe work of Conway and
Lagarias applying combinatorial group theory to packing problems suggests
what we might mean by “domain-wall boundary conditions” for the trime
r model on the infinite triangular lattice in which the permitted trimers
are triangle trimers and three-in-a-line trimers. Looking at subregions of
the lattice with those sorts of boundaries\, we find intriguing numerolog
y governing the number of trimer covers. This wealth of conjecture is in s
tark contrast with the paucity of mathematical tools that permit exact enu
meration of trimer covers as compared to dimer covers.\n\nhttps://indico.m
ath.cnrs.fr/event/7040/contributions/6010/
LOCATION:Centre de conférences Marilyn et James Simons (Le Bois-Marie)
URL:https://indico.math.cnrs.fr/event/7040/contributions/6010/
END:VEVENT
BEGIN:VEVENT
SUMMARY:q-cut-and-join Operators and q-Capelli Identity on Reflection Equa
tion Algebras (in person)
DTSTART;VALUE=DATE-TIME:20211130T110000Z
DTEND;VALUE=DATE-TIME:20211130T115000Z
DTSTAMP;VALUE=DATE-TIME:20220930T103400Z
UID:indico-contribution-5960@indico.math.cnrs.fr
DESCRIPTION:Speakers: Dimitri Gurevich (Valenciennes University)\n\nThere
exists a way\, based on the notion of Quantum Doubles\, to introduce analo
gs of partial derivatives on the so-called Reflection Equation algebras. A
nalogously to the classical case it is possible to use these ”q-derivati
ves” for different applications. I plan to explain their utility for con
structing q-analogs of the Casimir operators\, close to them cut-and-join
operators\, and the Capelli identity.\n\nhttps://indico.math.cnrs.fr/event
/7040/contributions/5960/
LOCATION:Centre de conférences Marilyn et James Simons (Le Bois-Marie)
URL:https://indico.math.cnrs.fr/event/7040/contributions/5960/
END:VEVENT
END:VCALENDAR