Algebraic Geometry Seminar

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Period-index problems for higher cohomology groups

Speaker: Julia Hartmann, University of Pennsylvania

Location: Warren Weaver Hall 512

Date: Tuesday, November 14, 2023, 3:30 p.m.

Synopsis:

It is a classical problem to relate the period and index of a Brauer class. Over semi-global fields, i.e., function fields over complete discretely valued fields, local-global principles have been a powerful tool in answering this question. In this talk, we consider an analog of the period-index problem for higher cohomology classes in place of Brauer classes (joint work with David Harbater and Daniel Krashen).