The goal of this student seminar is to understand some situations in which Ratner theory applies. In many cases, there is no obvious homogeneous space or even a group action. Yet, topological and measure rigidity of homogeneous actions play a key role. We will try to focus on concrete applications.
Time: Wednesdays 3-4:30pm
Location: E 203
Date | Speaker | Topic |
---|---|---|
1 Oct 2014 | Simion Filip | Overview of topics. Ratner's theorem in different guises. |
8 Oct 2014 | David Aulicino | Dynamics of SL(2,R) in genus 2 (McMullen). |
15 Oct 2014 | Ian Frankel | Gaps in \(\sqrt {n} \) mod 1 (Elkies-McMullen). |
22 Oct 2014 | Simion Filip | Intro to K3 surfaces, hyperkahler manifolds. |
29 Oct 2014 | Bena Tshishiku | Teichmuller space of HK manifolds and ergodic theory. |
5 Nov 2014 | Dan Le | Hermitian symmetric domains, Shimura varieties. |
12 Nov 2014 | Sean Howe | Equidistribution of Hecke orbits and special subvarieties. |
19 Nov 2014 | Ronen Mukamel | Periods of abelian differentials (Kapovich). |
26 Nov 2014 | Thanksgiving |