Invariant random subgroups in combinatorics, dynamics and representation theory
Yair Glasner (BGU)
Tuesday, June 27, 2017, 14:30 – 15:30, Math -101
Let G be a locally compact group. For example it could be a discrete group or a Lie group. A random closed subgroup of G, whose distribution is invariant under conjugation by elements of G is called an “invariant random subgroup of G” or IRS for short.
IRS turn out to be very useful in a surprisingly wide array of applications even outside of group theory. Yielding significant contributions to a-priori unrelated subjects such as these mentioned in the title.
I will survey some of these developments by stating one theorem in each of these subjects explaining exactly how IRS come into the picture.