### Workshop on Asymptotic Representation Theory: February 20—24 2017

Organizers:
Valentin Féray,
Pierre-Loïc Méliot

The workshop is now over. Thank you to all speakers and participants!
The slides of most beamer presentations are available below.

#### Invited talks:

**Alexey Bufetov** (MIT): *Asymptotics of stochastic particle systems via Schur generating functions* [slides]
**Reda Chhaibi** (Université Paul Sabatier, Toulouse): *Functional equations in number
theory and the reflection principle for random walks* [slides]
**Benoît Collins** (Kyoto University): *Weingarten Calculus through orthogonality
relations*
**Ivan Corwin** (Columbia University): *Stochastic quantum integrable systems*
**Manon Defosseux** (Université Paris V): *Space-time Brownian motion in
an affine Weyl chamber and radial part of an Hermitian Brownian sheet* [slides]
**Maciej Dołęga** (University of Poznań): *Gaussian fluctuations of Jack-deformed random
Young diagrams* [slides]
**Alexander Gnedin** (Queen Mary, University of London): *Spherically Symmetric Random Permutations* [slides]
**Cédric Lecouvey** (University François Rabelais, Tours): *Harmonic functions on multiplicative graphs and weight polytopes of representations* [slides]
**Sho Matsumoto** (Kagoshima University): *Plancherel measures on strict partitions: polynomiality and limit shape problems* [slides]
**Jonathan Novak** (University of California in San Diego): *Semiclassical asymptotics of
\(\mathrm{GL}_N(\mathbb{C})\) tensor products* [slides]
**Greta Panova** (University of Pennsylvania): *Hook formulas for skew shapes and asymptotics of skew SYTs* [slides]
**Leonid Petrov** (University of Virginia): *Characters of infinite-dimensional unitary group
and particle systems* [slides]
**Arun Ram** (University of Melbourne): *A Fock space plan*
**Dan Romik** (University of California in Davis): *
An asymptotic formula for the number of
n-dimensional representations of \(\mathrm{SU}(3)\), the Witten zeta function and the Bernoulli numbers*
**Anne Schilling** (University of California in Davis): *Random walks from semigroup representations* [slides]
**Piotr Śniady** (Polish Academy of Sciences): *Jack characters: dual combinatorics of Jack polynomials* [slides]
**Pierre Tarrago** (Centro de Investigación en Matemáticas, Mexico): *Asymptotic study
of the graph of zigzag diagrams* [slides]
**Lauren Williams** (University of California in Berkeley): *Newton-Okounkov bodies and
cluster duality for the Grassmannian*
**Martha Yip** (University of Kentucky): *Generalized Kostka polynomials* [slides]

List of participants.