MATH Seminar

Title: Relative local-global principles
Seminar: Algebra
Speaker: Danny Krashen of Rutgers University
Contact: David Zureick-Brown, dzb@mathcs.emory.edu
Date: 2019-12-03 at 4:00PM
Venue: MSC W303
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Abstract: In various contexts, the Hasse principle can be used to transfer questions of rational points and triviality of Galois cohomology classes from global fields to local fields. Some such results have been extended, for example, in the work of Kato, Bayer-Flukiger-Parimala, Parimala-Preeti, Parimala-Sujatha, to apply to function fields over global fields. In this talk, I will discuss recent joint work with David Harbater and Alena Pirutka in which we examine to what extent local-global principles for one field extend to local-global principles for a function field over this field. We focus particularly on the case where one starts with a semiglobal field (a function fields over discretely valued fields).