Ergodic group actions and unitary representations

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 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 infitine symmetric group), spectral and group theory (where studying representations helped to solve numerous open problems). During the meeting leading researchers will present and discuss new results and younger researchers will be able to learn from them. We hope that it will lead to new ideas, collaborations, connections, and research directions.

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