C O L L O Q U I U M

 

 Hecke symmetry on modular varieties

 

Professor Ching-Li Chai

University of Pennsylvania and HKUST

 

 

Abstract

 

Let M be a modular variety of PEL-type over the algebraic closure of the finite field with p elements. There is a family of algebraic correspondences on M, known as Hecke correspondences, which come from the action of a locally compact group on an infinite Galois cover of M.  Subvarieties of M defined by p-adic invariants are stable under the Hecke correspondences.  Notable examples of such subvarieties include Newton polygon strata and “leaves”. We will explain methods for studying the geometry of leaves and Hecke symmetries on them.

 

 

 

Date:

November 9, 2007 (Friday)

Time:

4:00 – 5:00pm

Place:

Room 517, Meng Wah Complex, HKU

 

 

All are welcome