The local and global versions of the Whittaker category
Abstract
Given a category C acted on by the loop group G((t)), we define its Whittaker model Whit(C) as CN((t)),, where is a non-degenerate character. We study the properties of this construction. When C is the category of sheaves on the quotient of G((t)) by a congruence subgroup, we find a "finite-dimensional" model for Whit(C); the corresponding geometric object is Drinfeld's compactification, denoted BunN (with poles and level structure).
0