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.
Cédric Bonnafé (Université de Montpellier)
Vincent Beck (Université d’Orléans)
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
Rectangular parking functions
Quiver Grassmannians of Dynkin type
Linear degenerations of flag varieties
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
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