Oligomorphic groups and tensor ideals

Abstract: Let G be a group acting faithfully on a set X. If G has finitely many orbits on any power of X, the pair (G, X) is called oligomorphic. One can then equip G with a topology coming from X and consider "good" measures on smooth G-sets. In the recent years, Harman and Snowden have developed a fascinating theory of representations of an oligomorphic group G equipped with a suitable measure on the G-sets, further developed by Harman, Snowden and others. In my talk, I will give an introduction to this theory and describe an ongoing project with Th. Heidersdorf concerning tensor ideals in the categories of permutation representations of oligomorphic groups.

quantum algebrarings and algebras

Audience: researchers in the topic

European Non-Associative Algebra Seminar