"Groups Acting on Fractals" is a thematic trimester in Institut Henri Poincaré, from 11 April to 8 July 2022.

The trimester is devoted to asymptotic geometry of groups, with emphasis on their fractalness, self-similarity and hyperbolicityof the groups and spaces they act upon.

Topics include:

Groups with hyperbolic properties
CAT(0) cube complexes
Automorphism groups of free groups, and  mapping class groups of surfaces
Groups acting on rooted trees, and groups generated by automata
Full topological groups 
Boundaries of groups
Dimension theory
Random walks on groups

 

Activities:

• Introductory school in CIRM (11-15 april 2022)
• Seminars and mini-courses
• Three conferences in Paris 

Organisers:

François Dahmani (Grenoble Alpes)
Anna Erschler  (ENS Paris, CNRS)
Camille Horbez  (Paris Sud, CNRS)
Dani Wise (McGill)

Dates : 11 April 2022 - 8 July 2022

Venue : Institut Henri Poincaré, Paris, France ; Map

More details soon!