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Group, Lie and Number Theory Seminar

Specialization of Neron-Severi groups in characteristic p>0
Thursday, January 16, 2020
4:00-5:00 PM
2866 East Hall Map
We will present two results on the specialization of Neron-Severi groups in characteristic p>0. The first bounds the exponent of p which kills the cokernels of specializations of Neron-Severi groups coming from any family of algebraic varieties. The second result is analogous to a result of Andre and of Maulik and Poonen in mixed characteristic and establishes that given a smooth projective family of algebraic varieties over an algebraically closed field K of characteristic p>0 not isomorphic to F_p-bar, there exists a K point outside of the Noether-Lefschetz locus. We will explain how Morrow's Lefschetz (1,1) for crystalline cohomology is used to prove the first result and how the second result follows from the first. Speaker(s): Atticus Christensen (MIT)
Building: East Hall
Event Type: Workshop / Seminar
Tags: Mathematics
Source: Happening @ Michigan from Department of Mathematics