Monday, October 25, 2021
Time  Items 

All day 

4:00pm 
10/25/2021  4:00pm I will outline some ideas in recent work with D. Fisher and S. Hurtado establishing Zimmer’s conjecture for actions of general lattices in SL(n,R). This extends our earlier results for actions of cocompact lattices and of SL(n,Z). Problems involving escape of mass and “escape of Lyapunov exponents” arise when the lattice is not cocompact and I will outline some ideas used to avoid such behavior. Location:
Zoom
10/25/2021  4:30pm Abstract: Let G and G’ be Langlands dual reductive groups (e.g. SL(n) and PGL(n)). According to a theorem by DonagiPantev, the generic fibres of the moduli spaces of GHiggs bundles and G’Higgs bundles are dual abelian varieties and are therefore derived equivalent. It is an interesting open problem to prove existence of a derived equivalence over the full Hitchin base. I will report on joint work in progress with Shiyu Shen, in which we construct a Ktheoretic shadow thereof: natural equivalences between complex Ktheory spectra for certain moduli spaces of Higgs bundles (in type A). Zoom link: https://yale.zoom.us/j/99305994163, contact the organizers (Gurbir Dhillon and Junliang Shen) for the passcode. Location:
Zoom
