A Local Shimura Correspondence in the Wild Case
Time and place
12:30 PM on Thursday, October 10th, 2019; NAC 6/113
Edmund Karasiewicz (Ben Gurion University)
Abstract
Half-integral weight automorphic forms provide one of the earliest examples of a connection between automorphic forms and arithmetic. Despite their utility and ubiquity, only recently Weissman extended the Langlands program to incorporate these half-integral weight forms, the culmination of input by many mathematicians.
One important contribution that helped guide the formulation of this extension was Savin’s approach to the local Shimura correspondence. After providing some background on Shimura’s original correspondence, we will describe Savin’s approach via Hecke algebras in the tame case. Finally we will discuss some recent progress toward the local Shimura correspondence in the wild case.
