Workshop on the Geometry and Dynamics of Groups of Transformations

January 16 - 20, 2023, The Fields Institute

Location: Fields Institute, Room 230

Description

This workshop will further explore interactions between set theory, Ramsey theory, and the geometry and dynamics of Polish groups. An emphasis will be placed on the large scale geometry and dynamics of homeomorphism groups, mapping class groups of spaces of infinite type, and of automorphism groups of countable structures. It will also include work on automatic continuity in the context of transformation groups.

Schedule

Monday, January 16th, 2023
09:00 to 09:15	Opening Remarks
09:15 to 10:10	Failure of automatic continuity for some big mapping class groups George Domat
10:10 to 10:35	Coffee Break
10:35 to 11:30	Big Ramsey degrees and Ellentuck theorems for binary free-amalgamation classes. Andy Zucker, University of Waterloo
11:30 to 11:40	Break
11:40 to 12:35	Problems on and around big mapping class groups Kathryn Mann, Cornell University
12:35 to 14:45	Lunch Break
14:45 to 15:40	Maximal highly proximal flows of locally compact groups Todor Tsankov, Université Claude Bernard Lyon 1
15:40 to 16:00	Presentation of Speakers and Participants
16:00 to 17:15	Reception at Fields

Tuesday, January 17th, 2023
09:15 to 10:10	Model theoretic transfer principles in Ramsey theory Dana Bartosova, University of Florida
10:10 to 10:35	Coffee Break
10:35 to 11:30	Belinskaya's theorem is optimal François Le Maître, Université Paris Cité
11:30 to 11:40	Break
11:40 to 12:35	2-manifolds with the Rokhlin Property Nicholas Vlamis, CUNY Graduate Center and Queens College
12:35 to 14:45	Lunch Break
14:45 to 15:40	Continuous logic and equivalence relations Maciej Malicki, Institute of Mathematics of the Polish Academy of Sciences
15:40 to 16:00	Coffee Break
16:00 to 16:55	Large scale geometry of Banach-Lie groups Michal Doucha, Institute of Mathematics, Czech Academy of Sciences

Wednesday, January 18th, 2023
09:15 to 10:10	Topological dynamics of the isometry group of the infinite dimensional hyperbolic space Bruno Duchesne, Paris-Saclay University
10:10 to 10:35	Coffee Break
10:35 to 11:30	Mapping class groups of infinite-type surfaces and their actions on hyperbolic graphs Priyam Patel, University of Utah

Thursday, January 19th, 2023
09:15 to 10:10	Coarse geometry of pure mapping class groups of infinite-type graphs Hannah Hoganson, University of Maryland
10:10 to 10:35	Coffee Break
10:35 to 11:30	Dynamics and the clopen type semigroup Julien Melleray, Université Lyon 1
11:30 to 11:40	Break
11:40 to 12:35	Strong measure zero in Polish groups Michael Hrusak
12:35 to 14:45	Lunch Break
14:45 to 15:40	A Panorama Around the KPT Correspondence Lionel Nguyen Van Thé, Aix-Marseille University
15:40 to 16:00	Coffee Break
16:00 to 16:55	Problem Session

Friday, January 20th, 2023
09:15 to 10:10	Conjugacy classes of big mapping class groups. JOSE FERRAN VALDEZ LORENZO, UNAM, Morelia
10:10 to 10:35	Coffee Break
10:35 to 11:30	Dynamics of unit groups of von Neumann's continuous rings Friedrich Martin Schneider, TU Freiberg
11:30 to 11:40	Break
11:40 to 12:35	Infinite-dimensional Ramsey theory on homogeneous binary relational structures Natasha Dobrinen, University of Notre Dame
14:45 to 15:40	Ramsey theorem for trees with successor operation and big Ramsey degrees of relational structures Jan Hubička, Charles University

Registered Participants

Name	Affiliation
Miklós Abért	Rényi Institute
M. Ali Asadi-Vasfi	University of Toronto
Uri Bader	Weizmann Institute of Science
Dana Bartosova	University of Florida
Gianluca Basso	Université Claude Bernard Lyon 1
Shivam Bhatt	University of Toronto
Scott Blair	Reed College
Samuel Braunfeld	Charles University
Daniel Calderón	University of Toronto
Julián Cano	Universidad de los Andes
Omar Cayley	York University
Brent Cody	Virginia Commonwealth University
Clinton Conley	Carnegie Mellon University
Jorge Cruz	Universidad Nacional Autónoma de México
Keegan Dasilva Barbosa	The Fields Institute
Natasha Dobrinen	University of Notre Dame
George Domat	The Fields Institute
Michal Doucha	Institute of Mathematics, Czech Academy of Sciences
Bruno Duchesne	Paris-Saclay University
Samuel Dupuis	York University
Matheus Duzi	York University
Thierry Giordano	University of Ottawa
Damian Głodkowski	University of Warsaw
Mohammad Golshani	IPM
Tatsuya Goto	Kobe University
Itamar Halevy
Ian Hambleton	McMaster University
Paige Helms	University of Washington
Hannah Hoganson	University of Maryland
Michael Hrušák	Universidad Nacional Autónoma de México
Jan Hubička	Charles University
Tomás Ibarlucía	Université Paris Cité
Sumun Iyer	Cornell University
Colin Jahel	Carnegie Mellon University
Ijaz Jamil	ASSMS GC University Lahore
Mario Jardón Santos	Centro de Ciencias Matemáticas, UNAM
Shahab Kalantari	Babol Noshirvani University of Thechnology
Matej Konecny	Faculty of Mathematics and Physics, Charles University
Piotr Koszmider	Institute of Mathematics of the Polish Academy of Sciences
Sanghoon Kwak	University of Utah
François Le Maître	Université Paris Cité
Carlos López-Callejas	Universidad Nacional Autónoma de México
Maciej Malicki	Institute of Mathematics of the Polish Academy of Sciences
Kathryn Mann	Cornell University
Dragan Mašulović	Faculty of Sciences, University of Novi Sad
Julien Melleray	Université Lyon 1
Sayantika Mondal	The Graduate Center, CUNY
Justin Moore	Cornell University
Sam Murray	McGill University
Lionel Nguyen Van Thé	Aix-Marseille University
Hamza Mesut Ozsoy	Sky Technic
Jan Pachl	York University
Priyam Patel	University of Utah
Juan Paucar	Université de Paris Cité
Carlos Pérez	Centro de Ciencias Matemáticas, UNAM
Yulan Qing	Fudan University
Dilip Raghavan	National University of Singapore
Luis Reyes Sáenz	Universidad Nacional Autónoma de México
Christian Rosendal	University of Maryland
Kamil Ryduchowski	University of Warsaw
Marcin Sabok	McGill University
Friedrich Martin Schneider	TU Freiberg
Lynn Scow	California State University, San Bernardino
Rahul Sethi	Indian Institute of Technology, Kanpur
Forte Shinko	The Fields Institute
Alun Stokes	McMaster University
Poula Tadros	Aalto University
Wai Shing Tang
Jakub Tomaszewski	AGH University of Science and Technology
Todor Tsankov	Université Claude Bernard Lyon 1
Spencer Unger	University of Toronto
JOSE FERRAN VALDEZ LORENZO	UNAM, Morelia
Tristan van der Vlugt	University of Hamburg
Nicholas Vlamis	CUNY Graduate Center and Queens College
Mittu Walia	NIT Kurushetra
Minxin Wang	Graduate Center, the City University of New York
William Weiss
Agnieszka Widz	Lodz University of Technology
Karl Winsor	The Fields Institute
Andy Zucker	University of Waterloo

Organizing Committee

Cornelia Druțu - University of Oxford

Eli Glasner - Tel-Aviv University

Christian Rosendal - University of Illinois at Chicago

Slawomir Solecki - Cornell University

Scheduled as part of

Thematic Program on Set Theoretic Methods in Algebra, Dynamics and Geometry

The Fields Institute for
Research in Mathematical Sciences