Algebraic Geometry Seminar

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Variation of Néron-Severi Ranks of Reductions of Algebraic Surfaces

Speaker: Edgar Costa, Courant Institute of Mathematical Sciences

Location: Warren Weaver Hall 505

Date: Thursday, October 2, 2014, 2:45 p.m.

Synopsis:

We study the behavior of geometric Picard rank of abelian surfaces and K3 surfaces over Q under reduction modulo primes. We compute these ranks for reductions of representative examples, investigate the resulting statistics and its correlations with the Sato-Tate group.