Tuesday, April 16, 2019
Time  Items 

All day 

4:00pm 
04/16/2019  4:00pm A quantized Gieseker variety is an associative algebra quantizing the global Location:
LOM 201
04/16/2019  4:15pm Mirzakhani proved two theorems about the asymptotic growth of the number of curves in a mapping class group orbit on a surface: one for simple curves and another for general curves. In this talk I will explain how to derive her second theorem from the one about simple curves. Time permitting, I will explain why similar methods can be used to also give a proof for the theorem about simple curves, hence giving a new (and very different) proof of both theorems. Location:
DL 431
04/16/2019  4:15pm Affine DeligneLusztig varieties (ADLV) naturally arise in the study of Shimura varieties and RapoportZink spaces; their irreducible components give rise to an interesting class of cycles on the special fiber of Shimura varieties. In this talk we give a description of the topdimensional irreducible components of ADLV’s modulo the action of a natural symmetry group, thus verifying a conjecture of Miaofen Chen and Xinwen Zhu. We obtain as a corollary, a description of the irreducible components of the basic locus of certain Shimura varieties in terms of a class set for an inner form of the structure group, generalizing classical results of Deuring and Serre. A key input for our approach is an analysis of certain twisted orbital integrals using techniques from local harmonic analysis. This is based on joint work in progress with X. He and Y. Zhu. Location:
LOM 205
