MATH Seminar

Title: Patching central simple algebras and quadratic forms
Seminar: Algebra
Speaker: Daniel Krashen of University of Georgia
Contact: R. Parimala, parimala@mathcs.emory.edu
Date: 2008-09-16 at 4:00PM
Venue: MSC W303
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Abstract: Recently, David Harbater and Julia Hartmann have developed a technique called ``field patching," which provides a new set of tools to study and construct algebraic objects of various types over function fields of curves defined over complete discretely valued fields. In this talk, I will describe these techniques, and give a survey of applications to central simple algebras and quadratic forms, including results on the period-index problem, the $u$-invariant, and admissibility of finite groups over these fields.