Aspects of Geometric Group Theory

Marilyn and James Simons Conference Center (IHES)

Marilyn and James Simons Conference Center


35 route de Chartres, F-91440 Bures-sur-Yvette, France


---------------------------------------- APPLICATIONS ARE CLOSED ------------------------------------------

Organizing/Scientific Committee: Emmanuel Breuillard (Univ. of Cambridge), Richard Canary (Univ. Michigan), Indira Chatterji (Univ. Nice-Sophia Antipolis), Fanny Kassel (CNRS-IHES)

The Summer school on "Aspects of Geometric Group Theory" will be held at the Institut des Hautes Etudes Scientifiques (IHES) from 8 to 19 July 2019. IHES is located in Bures-sur-Yvette, south of Paris (40 minutes by train from Paris).

This school is open to everybody but intended primarily for young participants, including PhD students and postdoctoral fellows.

A group is a mathematical object encoding natural notions of symmetries and transformations. Geometric group theory is an area in mathematics devoted to the study of discrete groups by exploring connections between algebraic properties of such groups and topological and geometric properties of spaces on which these groups act.

As a distinct area, geometric group theory is relatively new, and became an identifiable branch of mathematics in the early 1990s. Geometric group theory closely interacts with low-dimensional topology, hyperbolic geometry, Lie groups and homogeneous spaces, algebraic topology, computational group theory, and differential geometry. There are also substantial connections with complexity theory, mathematical logic, dynamical systems, probability theory, K-theory, and other areas of mathematics.

Nowadays, geometric group theory is a very active and competitive area of research, as shown by the many conferences in the field but also several special programs such as an IHP program in 2014, a jumbo MSRI program in 2016 and a program at the Newton Institute in 2017 to name a few.

We will choose a few important trends in geometric group theory and teach those to graduate students across mathematical fields, so that young people in several areas of mathematics such as algebra, geometry, dynamics, or topology have some basics to either understand a few problems in geometric group theory, or use geometric group theory methods in their respective fields. Geometric group theory is a very broad area, and we will mainly focus on geometric aspects.


So far the following people have agreed to give a mini-course:

  • Yves Benoist (CNRS and Université Paris-Sud)
  • Kai-Uwe Bux (Universität Bielefeld)
  • Ruth Charney Brandeis University)
  • François Dahmani (Université Grenoble Alpes)
  • Anna Erschler (CNRS and ENS)
  • François Guéritaud (CNRS and Université de Lille)
  • Kathryn Mann (Brown University)
  • Yair Minsky (Yale University)
  • Karen Vogtmann (University of Warwick)
  • Genevieve Walsh (Tufts University)
  • Anna Wienhard (Universität Heidelberg)
  • Daniel T. Wise (McGill University)

This is an IHES Summer School, organized in partnership with the Clay Mathematical Institute, and the support of the Société Générale, the FMJH, the IUF, the ANR GAMME, the project Jeunes Géomètres, the National Science Foundation and the ERC.


  • Adrien Abgrall
  • Alba Marina Málaga Sabogal
  • Alex Evetts
  • Alice Kerr
  • Alp Uzman
  • Amandine Escalier
  • Anschel Schaffer-Cohen
  • Bat-Od Battseren
  • Benjamin Brück
  • Benjamin Zarka
  • Biao Ma
  • Bogdan Stankov
  • Bruno Robbio
  • Carmen Galaz-Garcia
  • Chloé Papin
  • Christoph Hilmes
  • Christopher Ratigan
  • David Sheard
  • Diptaishik Choudhury
  • Eduard Schesler
  • Esmee te Winkel
  • Fernando Al Assal
  • Florestan Brunck
  • François Thilmany
  • Gabriel Pallier
  • George Domat
  • Han Liu
  • Hang Lu Su
  • Hanna Astephan
  • Hannah Hoganson
  • Harry Petyt
  • Ian Runnels
  • Ilia Smilga
  • Irene Pasquinelli
  • Islam Foniqi
  • Israel Morales Jimenez
  • Jacob Bamberger
  • Jean-Philippe Burelle
  • Jiawei Han
  • Joaquín Brum
  • Joe Scull
  • Jone Lopez de Gamiz Zearra
  • Jordan Frost
  • Karol Duda
  • Katie Vokes
  • Konstantinos Tsouvalas
  • Lam Pham
  • Laurent Dufloux
  • Leonardo Biz
  • Lorenzo Moreschini
  • Luca Sabatini
  • Luis Mendonça
  • Lukas Gohla
  • Macarena Covadonga Robles Arenas
  • Marco Barberis
  • Marco Linton
  • Martin Bobb
  • Matthieu Dussaule
  • Merlin Incerti-Medici
  • Michal Buran
  • Mitul Islam
  • Nathan Fisher
  • Neza Zager Korenjak
  • Nguyen-Thi Dang
  • Nikolaos Panagopoulos
  • Olivier Glorieux
  • Oussama Bensaid
  • Pallavi Panda
  • Panagiotis Tselekidis
  • Pierre-Louis Blayac
  • Pratyush Kumar Mishra
  • Qing Liu
  • Rachael Boyd
  • Robin Sroka
  • Rose Morris-Wright
  • Rylee Lyman
  • Sagar Balasaheb Kalane
  • Sami Douba
  • Samuel Dodds
  • Samuel Fisher
  • Simon Machado
  • Simon Roby
  • Soumya Dey
  • Suzanne Schlich
  • Suzhen Han
  • Swathi Krishna
  • Tal Horesh
  • Tattwamasi Amrutam
  • Theodore Weisman
  • Thomas Le Fils
  • Tom Ferragut
  • Tsung-Hsuan Tsai
  • Wenhao Wang
  • Xabier Legaspi Juanatey
  • Xiaofei Zhang
  • Xin Zhang
  • Yanis Amirou
  • Yongquan Zhang
  • Youri Tamitegama
  • Zachary Munro
  • Zhiqiang Xiao
Contact: Elisabeth Jasserand