This meeting is dedicated to studying various fruitful connections between ergodic group actions and unitary representations. For instance, to a measure preserving action of a group one can associate several types of representations: Koopman, groupoid, quasi-regular. One of the important questions is when ergodicity of the action implies indecomposability of the corresponding representations. This area is directly related and have applications to several others, including C*-and W*-algebras (which can be constructed from representations), combinatorics and random matrix theory (beautiful relations were found in case of the infinite symmetric group), spectral and group theory (where studying representations helped to solve numerous open problems).

Invited speakers:

Tattwamasi Amrutam

Jacopo Bassi

Sergiy Bezuglyi

Oleksandr Danilenko

Tomasz Downarowicz

Sohail Farhangi

Marlies Gerber

Yonatan Gutman

Yongle Jiang

David Kerr

Elzbieta Krawczyk

Yulia Kuznetsova

Maria Gabriella Kuhn

Aleksandra Kwiatkowska

Constantine Medynets

Mykola Nessonov

Florin Radulescu

Boris Solomyak

Stefaan Vaes

Mykyta Vieprik

Conference e-mail: 25-ergodicactions@impan.pl

This is a second meeting on this topic by the organizers. The first meeting was held on June 16-20, 2024, at IM PAN, Warsaw.