EVENT DETAILS AND ABSTRACT

Title: Loops spaces and Langlands duality
Speaker: Professor David Nadler
Speaker Info: University of Chicago
Brief Description:
Special Note:
Abstract:

Langlands' vision of number theory has had a tremendous impact on the representation theory and topology of loop groups. In particular, deep results about the structure of loop groups involve the Langlands dual group. In this talk, I will describe a project, joint with D. Gaitsgory (U. of Chicago), devoted to the topology of loop spaces of more general varieties with "lots of symmetry". We show that the singularities of the loop space of such a variety may be described in terms of a dual group. The dual group also governs many aspects of the original variety, such as its differential operators and ompactifications. (The talk will not assume any prior knowledge.)