Seminars & Colloquia Calendar
Moduli spaces of stable sheaves over quasipolarized K3 surfaces, and Strange Duality
Svetlana Makarova - University of Pennsylvania
Date & time: Wednesday, 10 February 2021 at 2:00PM - 3:00PM
Abstract: In this talk, I will talk about a construction of relative moduli spaces of stable sheaves over the stack of quasipolarized surfaces. For this, I first retrace some of the classical results in the theory of moduli spaces of sheaves on surfaces to make them work over the nonample locus. Then I will recall the theory of good moduli spaces, whose study was initiated by Alper and concerns an intrinsic (stacky) reformulation of the notion of good quotients from GIT. Finally, I use a criterion by Alper-Heinloth-Halpern-Leistner, coupled with some categorical arguments, to prove existence of the good moduli space.
This talk is based on my recent preprint: https://arxiv.org/abs/2101.00145 .