Department of Mathematics

Algebra

  •  Jack Petok, Dartmouth
  •  Sections of quadric fourfold bundles
  •  12/01/2021
  •  4:00 PM - 5:00 PM
  •  Online (virtual meeting) (Virtual Meeting Link)
  •  Laure Flapan (flapanla@msu.edu)

Given a quadric fourfold bundle over the projective plane with section, there is construction originating in the classical theory of quadratic forms (reduction by hyperbolic splitting), which produces an associated quadric surface bundle. I will explain a circle of ideas relating this construction to K3 surfaces and their Brauer groups. In particular, we will see examples where hyperbolic reduction connects two different parameter spaces: the moduli space of sections of a given height and the moduli space of twisted sheaves on a K3 surface. This is the subject of ongoing work with Asher Auel. Passcode: MSUALG

 

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Michigan State University
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