"Geometry and Analysis on Groups" Research Seminar



Time: 2017.12.05, 15:15–17:00
Location: Seminarraum 9, Oskar-Morgenstern-Platz 1, 2.Stock
Title: "Infinite symmetric group and combinatorial cobordisms."
Speaker: Yurii Neretin (Universitšt Wien)
Abstract: It is known that for infinite-dimensional groups \(G\supset K\) double coset spaces \(K\setminus G/K\) quite often admit natural multiplications (which can be considered as degenerations of convolutions at infinite-dimensional limits). We consider the case when \(G\) is the product of 3 copies of infinite symmetric group and \(K\) are subgroups in the diagonal \(K_0\). It will be explained that unitary representations of \(G\) generate in a natural way representations of certain category, whose morphisms are triangulated two-dimensional surfaces with special colorings and product of morphisms is similar to concatenation of cobordisms.