Mathematics Department Colloquium: Iwahori Kazhdan-Lusztig equivalence and other animals

Colloquium | March 7 | 4:10-5 p.m. | 60 Evans Hall

 Dennis Gaitsgory, Harvard

 Department of Mathematics

In their influential series of papers in the 90's, Kazhdan and Lusztig established an equivalence between the category of G(O)-integrable representations of the Kac-Moody Lie algebra and the category of modules over the "big" (i.e., Lusztig's) quantum group. In this talk we will explain what happens if we try to describe in terms of the quantum group the full affine category O. We will also connect this with quantum Langands duality and factorizable sheaves.