Random Subgroups - Lecture 3: Non-Invariant Random Subgroups

Explore the third lecture in a series on random subgroups, delivered by Tsachik Gelander as part of the Measured Group Theory program. Delve into the concept of non-invariant random subgroups, building upon the foundations laid in the previous two lectures on Invariant Random Subgroups (IRS). Discover how introducing randomness into mathematical structures can lead to powerful insights, particularly in the study of locally symmetric manifolds and discrete subgroups of Lie groups. Learn about the recent developments in the theory of Stationary Random Subgroups (SRS) and how this more general notion expands the scope of approachable problems in group theory. Gain valuable knowledge on the application of these concepts to questions previously considered unreachable in the field of mathematics.