Measured group theory

Dates : 06 March 2023 » 17 March 2022

Place : Montréal

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Organizer : CRM / Université de Montréal

Mathematics and Statistics;
Keywords: Combinatorics, Group Theory, Probability
Description :

Measured group theory looks at groups from a probabilistic perspective, by studying their actions on probability spaces up to orbit equivalence. It turns out that the orbit equivalence relations of these actions can remember information about the group, which has yielded classification and rigidity results, as well as new invariants such as cost, |^2-Betti numbers, and ergodic dimension. Initiated by Gromov and Zimmer, the subject has become a very fruitful area of research over the last 25 years. One reason for this is that to study the orbit equivalence relation of an action, one tries to measurably equip the orbits with various combinatorial and geometric structures (graphs, trees, CW-complexes) and investigate their characteristics (colorings, matchings, ends, |^2-Betti numbers), which often requires machinery from the corresponding subjects, and also contributes back to these subjects with new results. This two-way traffic has established new connections between Measured Group Theory and various different areas, including ergodic theory, descriptive set theory, probability theory, combinatorics, geometric group theory, Lie groups, and von Neumann algebras.

Measured group theory to be held in Montréal, Canada between 06 March 2023 and 17 March 2022. It is organised by CRM / Université de Montréal. It covers specific areas of Mathematics and Statistics such as 0. Visit the website of the conference for more detailed information or contact the organizer for specific questions.
Add to calendar 2023-03-06 2022-03-17 Europe/London Measured group theory Montréal - Canada CRM / Université de Montréal

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