Seminar on Arithmetic Algebraic Geometry: Vanishing theorems for torsion automorphic sheaves (2)

2012-7-17 14:00 - 2012-7-17 16:00
Faculty of Science Building #3 Room 413
Kai-wen Lan
I will explain my joint work with Junecue Suh on when and why the cohomology of Shimura varieties (with coefficients in integral lattices in algebraic representations of the associated reductive groups) has no torsion, based on certain vanishing theorems we have proved. I will review the background material in the geometric theory of modular forms, and explain the main ideas.