EVENT DETAILS AND ABSTRACT

Title: Quantum localization
Speaker: Kobi Kremnizer
Speaker Info: MIT
Brief Description:
Special Note:
Abstract:

In this talk I will describe the quantum analog of the Beilinson-Bernstein localization theorem. The main object is the quantum flag variety. I will define it and D-modules over it. At roots of unity this non-commutative object localizes to the Springer resolution. I will explain how one can use this to prove the DeConcini-Kac-Procesi conjecture and Lusztig`s conjectures. Then I will describe how this relates to derived loop spaces that appear in the work of Ben-Zvi and Nadler.