Department of Mathematics

Algebra

  •  Brian Lawrence, UCLA
  •  Sparsity of Integral Points on Moduli Spaces of Varieties (in person!)
  •  04/20/2022
  •  4:00 PM - 5:00 PM
  •  C304 Wells Hall
  •  Preston Wake (wakepres@msu.edu)

Interesting moduli spaces don't have many integral points. More precisely, if X is a variety over a number field, admitting a variation of Hodge structure whose associate period map is injective, then the number of S-integral points on X of height at most $H$ grows more slowly than $H^{\epsilon}$, for any positive $\epsilon$. This is a sort of weak generalization of the Shafarevich conjecture; it is a consequence of a point-counting theorem of Broberg, and the largeness of the fundamental group of X. Joint with Ellenberg and Venkatesh. https://arxiv.org/abs/2109.01043

 

Contact

Department of Mathematics
Michigan State University
619 Red Cedar Road
C212 Wells Hall
East Lansing, MI 48824

Phone: (517) 353-0844
Fax: (517) 432-1562

College of Natural Science