Geometric Analysis and Surface Groups ERC-advanced grant project №: 101095722 -- AnSur January 2024 / December 2028 This page gives information about the activities of the project: conferences, workshops, post-doc and Ph-D. positions. |
June 2023
Hyperbolic groups are central objects in Geometric Group Theory. Anosov representations of these groups are thought to be linear
versions of these groups:
many objects naturally associated to hyperbolic groups have a linear avatar in presence of an Anosov representation.
For instance the boundary at infinity of a hyperbolic group naturally embeds as a subset of a flag manifold for an Anosov representation.
The project aims to study the global geometry of the space of deformations of Anosov representations, with a strong emphasis on positive ones.
Our goal is to use various techniques from geometric PDE to combinatorics in that study. Notably we wish to study how asymptotic data,
such as the limit set in the flag manifold, interact with solutions of PDE's of geometric origin.
Members
The principal investigator of this project is François LABOURIE with Jérémy TOULISSE as a co-investigator. The recruited team will consist of Activities.
One school/workshop every year, three conferences.
