Group Actions and Dynamics
A Satellite Conference to the 2026 International Congress of Mathematicians
Group Actions and Dynamics
A Satellite Conference to the 2026 International Congress of Mathematicians
Deep connections between group actions and dynamics go back to seminal work of Dennis Sullivan on boundary actions of Kleinian groups and work on amenable actions of Grigorchuk groups in 1980s. Interplay between geometry of buildings and dynamics was established by Ballman and Brin, where the group actions on Euclidean buildings are interpreted as Z^d actions. Such actions can be regarded as natural continuations of Sullivan’s work. Possible generalisations to higher dimensions become very involved and require sophisticated results from several fields. Buildings have geometric, analytic, and algebraic aspects, so we aim to bring together a wide range of specialists and, in particular, experts in Z^d-actions. In particular, groups of partial isometries of the boundaries of buildings can be viewed as far reaching generalizations of Thompson groups, where there are still open questions on amenability. We also explore related questions if rigidity. Proofs of celebrated super rigidity results of Margulis are based on dynamical considerations. Margulis super rigidity was generalised by Gromov and Schoen for Euclidean buildings and Daskalopulus, Mese, Vdovina for hyperbolic buildings. Of significant interest is a development of superrigidity for boundary of the Euclidean and hyperbolic buildings of dimensions three of higher.
List of Speakers
Jerome Buzzi (University Paris-Saclay, France))
Lisa Carbone (Rutgers University, USA)
Jean-Rene Chazottes (CNRS,Paris)
George Daskalopoulus (Brown University, USA)
Alejandra Garrido (Universidad Complutense de Madrid, Spain)
Bob Gray (University of East Anglia, UK)
Be'eri Greenfeld (CUNY Hunter College and Graduate Center)
Rostislav Grigorchuk (University Texas A&M, USA)
Riikka Kangaslampi (Aalto University, Finland)
Ilya Kapovich (CUNY Hunter College and Graduate Center)
Vadim Kaimanovich (University of Ottawa, Canada)
Olga Kharlampovich (CUNY Hunter College and Graduate Center)
Chikako Mese (John Hopkins University, USA)
Alexei Miasnikov (Stevens Institute of technology, USA)
Brita Nucinkis (Royal Holloway University, UK)
Panos Papazoglou (Oxford University, UK)
Ronnie Pavlov (University of Denver, USA)
Yakov Pesin (Penn State University, USA)
Enrique Pujals (CUNY Graduate Center, USA)
Ian Putnam (University of Victoria, Canada)
Maria Sabitova (CUNY Queens College and Graduate Center, USA)
Mao Shinoda (Ochanomizu University, Japan)
Rachel Skipper (University of Utah, USA)
Vladimir Shpilrain (CUNY City College and Graduate Center)
Dennis Sullivan (CUNY Graduate Center and Stony Brook University, USA)
Alexander Ushakov (Stevens Institute of Technology, USA)
Organizers:
Tamara Kucherenko (tkucherenko@ccny.cuny.edu)
Benjamin Steinberg (bsteinberg@ccny.cuny.edu)
Alina Vdovina (avdovina@ccny.cuny.edu)