CONFERENCE
Algebraic Combinatorics in Representation Theory
August 29 – September 2, 2016
This conference is the final conference of the ANR project ACORT « Algebraic Combinatorics in Representation Theory ». The aim of this project is to study recent problems in representation theory by using algebraic and combinatorial technics.

The notions studied in this project are at the heart of an intense research activity in most of the main mathematical countries over the world. They also have numerous fruitful interactions with Mathematical Physics, Dynamical systems, Probability etc.

The talks and lectures will present recent results around these topics.

The conference is supported by ANR ACORT and ERC QAFFINE 647353.

Scientific Committee

Cédric Bonnafé (Université de Montpellier)
Peng Shan (Université de Caen Normandie)

Organizing Committee

Vincent Beck (Université d’Orléans)
David Hernandez (Université Paris Diderot)

Nicolas Jacon (Université de Reims Champagne-Ardenne)
Peter Littelmann (University of Cologne)

Lectures

A probabilistic look at some questions in representation theory

Categorification of quantum groups by quiver Hecke algebras, R-matrices and Cluster algebras

Cluster algebras and representations of quantum affine algebras

Jeu de taquin and asymptotic representation theory

Long talks

Rectangular parking functions

Kronecker Tableaux

Quiver Grassmannians of Dynkin type

Linear degenerations of flag varieties

  • Myungho Kim (Kyung Hee University in Seoul, South Korea)

Supersymmetric polynomials and the center of the walled Brauer algebra

Parking spaces and Catalan combinatorics for complex reflection groups

Harmonic functions on multiplicative graphs: applications to representation theory and random walks

Tangent cones of Schubert varieties

Studying affine Deligne Lusztig varieties via folded galleries in buildings

Short talks

The BMR freeness conjecture

Feigin-Fourier-Littelmann-Vinberg polytopes and string polytopes

Triple crystal structure for Fock spaces

Categorical actions and KLR algebras

Representations of quantum affine superalgebra