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Algebra Seminar

Moduli spaces of stable sheaves over quasipolarized K3 surfaces, and Strange Duality

Svetlana Makarova - University of Pennsylvania

Location:  zoom
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 .

Zoom link is https://rutgers.zoom.us/j/95075528338. For the password please email

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