Lie Groups and Representation Theory

Seminar information archive ~05/22Next seminarFuture seminars 05/23~

Date, time & place Tuesday 16:30 - 18:00 126Room #126 (Graduate School of Math. Sci. Bldg.)

2015/06/30

17:00-18:30   Room #122 (Graduate School of Math. Sci. Bldg.)
Anatoly Vershik (St. Petersburg Department of Steklov Institute of Mathematics)
Random subgroups and representation theory
[ Abstract ]
The following problem had been appeared independently in different teams and various reason:
to describe the Borel measures on the lattice of all subgroups of given group, which are invariant with respect to the action of the group by conjugacy. The main interest of course represents nonatomic measures which exist not for any group.
I will explain how these measures connected with characters and representations of the group, and describe the complete list of such measures for infinite symmetric group.