Monodromy and derived equivalences

開催日時: 
2017/11/22 Wed 16:30 - 17:30
場所: 
3号館110講演室
講演者: 
Andrei Okounkov
講演者所属: 
Kyoto University / Columbia University
概要: 

Monodromy of linear differential equations is a very old and classical object, which for certain very special equations of geometric origin has been the subject of challenging conjectures of more modern flavor. One such conjecture, proposed by Bezrukavnikov and myself, identifies the monodromy of certain quantum differential equations with a generalization of the Hecke algebra that is important for representation theory in large prime characteristic. I will explain what this conjecture says and how we prove it for Nakajima quiver varieties.