Mathematische Gesellschaft

Donnerstag, 16.06.2016


Luis Lomeli, Valparaiso

Automorphic L-functions and Langlands functoriality for the classical groups in characteristic p


Abstract:

We make thorough study of automorphic L-functions via the Langlands-Shahidi method, which is now available over function fields. We will give a general overview of Langlands functoriality and the role played by automorphic L-functions. We then focus on the classical groups, where we provide a proof of the Ramanujan conjecture in characteristic p.