2018
Dec
03

# NT & AG Lunch: Yakov Varshavsky Title: "GL(n,F)\GL(n,A)/GL(n,O) over function fields and vector bundles on curves"

1:00pm to 2:00pm

## Location:

Faculty lounge, Math building

Abstract: The starting point of the geometric approach to the theory of automorphic forms over function fields is a beautiful observation of Weil asserting that there is a natural bijection between the two-sided quotient GL(n,F)\GL(n,A)/GL(n,O) and the set of isomorphism classes rank n vector bundles on a curve. The goal of my talk will be to explain this result and to give some applications.

Key words: adeles and ideles in the function field case, algebraic curves, line and vector bundles on curves, Picard group, Riemann-Roch theorem.