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]   [Applications and positions]    [Activities]     [SurfaceTown]    


Members

The principal investigator of this project is François LABOURIE with Jérémy TOULISSE as a co-investigator.
Emmanuel Barbera-Ferre is in charge of the administrative aspects.

The recruited team consists of

Two 3-years Ph.D. positions,
Four (2+1)-years Post Doc positions.
  • September 24: Xian DAI, PhD 2020, Rice University.
  • January 25: Rym SMAÏ, PhD 2022, Université d'Avignon.
  • January 25: Enrico TREBESCHI, PhD 2024, Université Grenoble Alpes.

    • Activities.


  • Summer School in Aussois for young researchers: "Connected components of character varieties", September 2024.
  • Winter school on the côte d'azur, January 9-17 2025. Exercises sheets for the conference
  • Starting Fall 24 Reading seminar

    • Visitors.

  • Sourav Ghosh, January 28-February 5, 2025
  • Shahar Mozes, March 2-8, 2025
  • Nathaniel Sagman, March 25-29, 2025
  • Xenia Flamm, April 2-4, 2025
  • Mahan Mj, June 1-10, 2025
  • Tengren Zhang, June 30-July 5, 2025

    •  

    SurfaceTown
    SurfaceTown is a Gather Town where, you can meet, organize events with zoom sessions, and consult a repository of recorded lectures.
    The case-sensitive password is the name of the ERC project, a short description is in this document . Here is the invite link in clear

    https://app.gather.town/invite?token=ri1NBgx3Sj-WuEAi1T6o

    We use the free version which is limited to 10 occupants. If you wish to organize a larger event, please contact Labourie.
    François Labourie will have office hours in SurfaceTown on Mondays from 2 to 3 French time, except when travelling.