Department of Mathematics

Algebra

  •  Sarah Frei, Rice University
  •  Rational points on moduli spaces of sheaves on K3 surfaces
  •  04/07/2021
  •  4:00 PM - 5:00 PM
  •  Online (virtual meeting) (Virtual Meeting Link)
  •  Rajesh S Kulkarni (kulkar23@msu.edu)

In this talk, I will report on ongoing work with Ryan Takahashi in which we study Brauer-Manin obstructions to the existence of rational points on moduli spaces of sheaves on K3 surfaces. There are Brauer classes naturally arising out of geometric constructions, and we aim to find conditions under which these Brauer classes obstruct the existence of certain kinds of sheaves on a K3 surface over a number field.

 

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