Periods and L-values of automorphic motives

Abstract: In this talk, we will first introduce a conjecture of Deligne on special values of L-functions. This conjecture generalizes the famous result by Euler on the Riemann zeta values at positive even integers, and predicts a relation between motivic L-values and geometric periods. We will then explain an approach towards this conjecture for automorphic motives and summarize some recent progress (joint with H. Grobner and M. Harris)

algebraic geometrynumber theory

Audience: researchers in the topic

UCSB Seminar on Geometry and Arithmetic