Mathematical Sciences Research Institute

Home » Autoequivalences arising from variation of GIT (NAGRT)


Autoequivalences arising from variation of GIT (NAGRT) April 19, 2013 (01:00 PM PDT - 01:45 PM PDT)
Parent Program: --
Location: MSRI: Simons Auditorium
Speaker(s) Ian Shipman (University of Michigan)
Description No Description
No Video Uploaded

Recently there has been an advance in understanding the relationship between the derived categories of the stack quotient of a variety X by a group G and its GIT quotients. I will explain the connection. Then I will present joint work with Dan Halpern-Leistner on how a variation of GIT can be used to produce autoequivalences, which turn out to be special. Along the way, we will see a tight connection between spherical functors and mutations of semiorthogonal decompositions. If time and courage permit, I will remark on how our results confirm a prediction from mirror symmetry.

No Notes/Supplements Uploaded No Video Files Uploaded