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Window-shifts and Grassmannian twists - Ed Segal (Imperial) - EDGE seminar

6 years ago277 views

Date: Thursday 3rd November 2011
Speaker: Ed Segal (Imperial).
Title: Window-shifts and Grassmannian twists

Abstract: 'Window-shifting' is a new technique for constructing equivalences and symmetries of derived categories of sheaves. I'll warm up by discussing how we apply it in the case of the standard flop, and show that it produces the Siedel-Thomas spherical twist. I'll then go on to our main example which is a vector bundle over a Grassmannian, in this case we can produce an autoequivalence which seems to be completely new. I'll then describe a more geometric construction of this autoequivalence.
This is joint work with Will Donovan.