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.
• 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.
Alexander Bufetov (Aix-Marseille Université)
The Abelianization of Automorphism Groups of Right-Angled Artin Groups
Local Quantum Unique Ergodicity for Random Matrices
A Probabilistic Approach to Whittaker Functions, in both Archimedean and non-Archimedean Cases
Random Subgroups, Totally non-free Actions and Factor Representations
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
On Weak Mixing Properties for Non-Singular Actions
The Geometric and Dynamical Decompositions of the Character Variety of the Free Group of Rank Two