A*Midex School and Workshop on Group Representations in Dynamical Systems and Geometry
June 29 – July 3, 2015
The scope of our conference is to build on the knowledge of the deep relations existing between Representation Theory, Ergodic Theory and Dynamical Systems and to expand in related areas of research that came recently to prominence in the worldwide mathematical scenery.

In particular, we intend to support the creation of a wide “European” net of researchers, including also people from Russia and Israel, encouraging early career mathematicians and promoting the research in this area, including border topics.

In this workshop, we are going to bring together, for the first time, experts in representation theory from different mathematical schools which developed their own directions at the highest levels.
The main topics will be:

• Representation theory of the infinite symmetric group: asymptotic formulas and connections with probability.

• Finite dimentional representations of finitely generated groups, including combinatorial theory of association schemes and coding theory.

• Growth functions: how these are related to averaging operators, convergence theorems and representation theory: some new growth functions will also be presented.

• Representation theory in low dimensional geometry and topology.

Mornings will be dedicated to mini-courses taught by experts known also for their ability to give enlightening talks approachable to young people.

Afternoons will be dedicated to research talks. The speakers will be asked to aim their talks at a knowledgeable but not necessarily specialized audience. For more information, please see our dedicated conference website.

Scientific Committee

Eiichi Bannai (Shanghai Jiao Tong University)
Grigori Olshanski (Moscow University)
Hamish Short (Aix-Marseille Université)

Organizing Committee

Alexander Bufetov (Aix-Marseille Université)
Maria Gabriella Kuhn (University of Milan)
Pavel Nikitin (Aix-Marseille Université)
Luisa Paoluzzi (Aix-Marseille Université)
Yanqi Qiu (Aix-Marseille Université)

Short courses

Representation Theory, Effective Ergodic Theorems, and Applications (pdf)
Talk 1Talk 2Talk 3Talk 4

Groups with the Haagerup Property (abstract) –  (notes)


The Abelianization of Automorphism Groups of Right-Angled Artin Groups

Representations of Symmetric Groups and Free Cumulants 

Local Quantum Unique Ergodicity for Random Matrices

A Probabilistic Approach to Whittaker Functions, in both Archimedean and non-Archimedean Cases

On Matrix Coefficients of Unitary Representations of Semisimple Lie Groups

Random Subgroups, Totally non-free Actions and Factor Representations

Stationarity and Stationarizing 

Asymptotic Behaviour of a sine-Kernel Determinant which appears in the Theory of Random Matrices and Log-Gases

Dynamics of the Mapping Class Group in Character Varieties of Genus 2 Surfaces

The Entropy of Schur-Weyl Measures

Persistent Homology and Minimum Spanning Acycle for Random Simplicial Complexes 

On Certain Tempered Unitary Representations of Hyperbolic Groups

  • Benjamin Weiss (Einstein Institute of Mathematics)

On Weak Mixing Properties for Non-Singular Actions

The Geometric and Dynamical Decompositions of the Character Variety of the Free Group of Rank Two