GTM seminar

Speaker: Naoki Koseki (Kavli IPMU)
Title: Perverse coherent sheaves on blow-ups at codimension two loci
Date (JST): Thu, Jun 15, 2017, 15:30 - 17:00
Place: Seminar Room A
Abstract: This is my recent work in progress. Let Y be a smooth projective variety, C its subvariety, and X the blow-up of Y along C. Then the following natural question arises: What is the relation between moduli space of sheaves on Y and that of X? In the case when Y is a surface, H.Nakajima and K.Yoshioka treat this problem. They showed that moduli spaces are connected by a sequence of flip-like diagrams. In this talk, I will explain how to generalize their result to the case when Y is of arbitrary dimension and C is its codimension two subvariety.