## Speaker:

Roberto Alvarenga

## Speaker Link:

## Institution:

USP-Brazil, visiting UCI

## Time:

Thursday, February 14, 2019 - 3:00pm to 4:00pm

## Host:

## Location:

RH 306

Abstract: Motivated by questions of Zagier, Lorscheid develops in his Ph. D thesis the theory of graphs of Hecke operators. These graphs encode the action of Hecke operators on automorphic forms over a global function field. In this talk, I intend to present this theory and connect it with the Hall algebras theory. This connection allow us to describe these graphs for an elliptic curve.