Eisenstein Series and L-functions

Wednesday, November 14, 2018 - 9:30am - 10:30am
Keller 3-180
Freydoon Shahidi (Purdue University)
This is a historical account and survey of Langlands theory of Eisenstein series and how it led to his definition of Frobenius-Hecke conjugacy classes, L-functions and L-groups through his computations of their constant terms, a subject that Langlands considers as the key to the suggestions in the letter to Andre Weil. We will also discuss the non-constant term and its consequences in the theory of L-functions, automorphic forms, and number theory. Time permitting, we hope to also discuss the local analogues of the individual components of constant terms, the intertwining operators, which have played a central role in automorphic forms and representation theory since their inception.