Workshop on Borel and Measurable Combinatorics in Algebra and Dynamics

March 20 - 24, 2023, The Fields Institute

Location: Fields Institute, Room 230

Description

This workshop will bring together those working in pure Borel combinatorics with those studying the ergodic theory, dynamics, and geometry of countable groups. Featured topics will include Gaboriau's theory of cost, Borel and measurable chromatic numbers, Borel matchings, and amenable and hyperfinite equivalence relations.

Schedule

Monday, March 20th, 2023
09:00 to 09:50	Flows on the torus Spencer Unger, University of Toronto
10:00 to 10:50	Weak mixing for semigroup actions and applications to pointwise ergodic theorems Jenna Zomback, Williams College
11:00 to 11:30	Coffee Break
11:30 to 12:20	Boolean actions of full groups and applications François Le Maître, Université Paris Cité
12:30 to 14:00	Lunch Break
14:00 to 14:50	Large-scale geometry of graphs of polynomial growth Anton Bernshteyn, Georgia Institute of Technology
15:00 to 15:30	Coffee Break
15:30 to 16:20	Dividing the sphere by rotations Clinton Conley, Carnegie Mellon University

Tuesday, March 21st, 2023
09:00 to 09:50	Applications of perfect matchings in hyperfinite bipartite graphings Marcin Sabok, McGill University
10:00 to 10:30	Coffee Break
10:30 to 11:20	The sampling exponent of subsets of countable groups and the growth of unimodular random rooted trees Miklós Abért, Rényi Institute
11:30 to 12:20	Furstenberg entropy spectrum of stationary actions Tianyi Zheng, UC, San Diego
12:30 to 14:00	Lunch Break
14:00 to 14:50	How many measure equivalence classes are there? Robin-Tucker Drob
15:00 to 15:30	Coffee Break
15:30 to 16:20	Measure equivalence rigidity among the Higman groups Camille Horbez, CNRS / Université Paris-Saclay

Wednesday, March 22nd, 2023
09:00 to 09:50	Perfect matchings in bipartite graphings Gábor Kun, Rényi Institute
10:00 to 10:30	Coffee Break
10:30 to 11:20	Measurable tilings Jan Grebik, University of Warwick
11:30 to 12:20	Greedy algorithms and differential equations Riley Thornton

Thursday, March 23rd, 2023
09:00 to 09:50	Borel integral flows, equidecompositions and balanced orientations in one-ended graphs Matt Bowen, McGill University
10:00 to 10:30	Coffee Break
10:30 to 11:20	Quasi-treeable equivalence relations Antoine Poulin, McGill University
11:30 to 12:20	Homomorphism problems in the infinite context Zoltán Vidnyánszky, Eotvos Lorand University
12:30 to 14:00	Lunch Break
14:00 to 14:50	Non almost finite Cantor minimal actions Matthieu JOSEPH, Paris-Saclay University
15:00 to 15:30	Coffee Break
15:30 to 16:20	On the space of subgroups of Baumslag-Solitar groups; perfect kernel and phenotype Alessandro Carderi, Karlsruhe Institute of Technology

Friday, March 24th, 2023
09:00 to 09:50	Automorphism groups of low complexity shifts Joshua Frisch, École Normale Supérieure
10:00 to 10:30	Coffee Break
10:30 to 11:20	Topological dynamics of kaleidoscopic groups Todor Tsankov, Université Claude Bernard Lyon 1
11:30 to 12:20	Infinite-dimensional Ramsey theory for binary free-amalgamation classes Andy Zucker, University of Waterloo

Registered Participants

Name	Affiliation
Miklós Abért	Rényi Institute
M. Ali Asadi-Vasfi	University of Toronto
Dana Bartosova	University of Florida
Gianluca Basso	Université Claude Bernard Lyon 1
Jeffrey Bergfalk	University of Barcelona
Anton Bernshteyn	Georgia Institute of Technology
saba beytasi	Urmia University
Andreas Blass	University of Michigan
Matt Bowen	McGill University
Daniel Calderón	University of Toronto
Julián Cano	Universidad de los Andes
Alessandro Carderi	Karlsruhe Institute of Technology
Montse Casals Ruiz	Ikerbasque and University of the Basque Country
Omar Cayley	York University
Wing Chan	Wilfrid Laurier University
Brent Cody	Virginia Commonwealth University
Clinton Conley	Carnegie Mellon University
Samuel Corson	University of the Basque Country
Jorge Cruz	Universidad Nacional Autónoma de México
Keegan Dasilva Barbosa	The Fields Institute
Natasha Dobrinen	University of Notre Dame
Martin Doležal	Czech Academy of Sciences
George Domat	The Fields Institute
Michal Doucha	Institute of Mathematics, Czech Academy of Sciences
Samuel Dupuis	York University
Matheus Duzi	York University
Matt Foreman	University of California, Irvine
Joshua Frisch	École Normale Supérieure
Damien Gaboriau	CNRS / ENS-Lyon
Thierry Giordano	University of Ottawa
Damian Głodkowski	University of Warsaw
Mohammad Golshani	IPM
Tatsuya Goto	Kobe University
Jan Grebik	University of Warwick
Itamar Halevy
Cecelia Higgins	University of California, Los Angeles
Camille Horbez	CNRS / Université Paris-Saclay
Michael Hrušák	Universidad Nacional Autónoma de México
Dexuan Hu	Cornell University
Ijaz Jamil	ASSMS GC University Lahore
Mario Jardón Santos	Centro de Ciencias Matemáticas, UNAM
Matthieu JOSEPH	Paris-Saclay University
Chris Karpinski	McGill University
Alexander Kastner	University of California, Los Angeles
Ilya Kazachkov	Ikerbasque and University of the Basque Country
Alexander Kechris	California Institute of Technology
Petr Kosenko	University of Toronto
Ashutosh Kumar	Indian Institute of Technology, Kanpur
Gábor Kun	Rényi Institute
Chris Lambie-Hanson	Institute of Mathematics of the Czech Academy of Sciences
Arkady Leiderman	Ben-Gurion University of the Negev
François Le Maître	Université Paris Cité
Bowen Li	Carleton College
Carlos López-Callejas	Universidad Nacional Autónoma de México
Ricardo López	Instituto de Investigación en Matemáticas Aplicadas y en Sistemas
Clark Lyons	University of California, Los Angeles
Maciej Malicki	Institute of Mathematics of the Polish Academy of Sciences
Tonatiuh Matos Wiederhold	University of Toronto
David Meza-Alcantara	Universidad Nacional Autónoma de México
Heike Mildenberger	Albert-Ludwigs-Universitaet Freiburg
Justin Moore	Cornell University
Sam Murray	McGill University
Vanessa Joyclyn Tanyie Ngemukung	Himmel Kinder School
Jan Pachl	York University
Juan Paucar	Université de Paris Cité
Bo Peng	McGill University
Carlos Pérez	Centro de Ciencias Matemáticas, UNAM
Oleg Pikhurko	University of Warwick
Antoine Poulin	McGill University
Dilip Raghavan	National University of Singapore
Luis Reyes Sáenz	Universidad Nacional Autónoma de México
Kamil Ryduchowski	University of Warsaw
Marcin Sabok	McGill University
Ramez Sami	Universte Paris Cite / CNRS
Philipp Schlicht	University of Bristol
Friedrich Martin Schneider	TU Freiberg
David Schrittesser	Harbin Institute of Technology
Lynn Scow	California State University, San Bernardino
Rahul Sethi	Indian Institute of Technology, Kanpur
Forte Shinko	The Fields Institute
Vinit Sinha	Indian Institute of Technology, Kanpur
Iian Smythe	University of Winnipeg
Omer Tamuz	California Institute of Technology
Prisca Laure Tangui Djougkou	Catholic University
Wai Shing Tang
Jakub Tomaszewski	AGH University of Science and Technology
Laszlo Marton Toth	Alfréd Rényi Institute of Mathematics
Todor Tsankov	Université Claude Bernard Lyon 1
Spencer Unger	University of Toronto
Carlos Uzcategui	Universidad Industrial de Santander
Tristan van der Vlugt	University of Hamburg
Brinda Venkataramani	University of Toronto
Zoltán Vidnyánszky	Eotvos Lorand University
Minxin Wang	Graduate Center, the City University of New York
William Weiss
Agnieszka Widz	Lodz University of Technology
Karl Winsor	The Fields Institute
Michael Wolman	California Institute of Technology
Jing Yu	Georgia Institute of Technology
Tianyi Zheng	UC, San Diego
Shaopeng Zhu	UMD (graduating soon)
Jenna Zomback	Williams College
Andy Zucker	University of Waterloo

Organizing Committee

Damien Gaboriau - CNRS / ENS-Lyon

Andrew Marks - University of California, Los Angeles

Oleg Pikhurko - University of Warwick

Anush Tserunyan - McGill University

Scheduled as part of

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

The Fields Institute for
Research in Mathematical Sciences