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Graduate Algebra and Representation Theory Seminar

Central Simple algebras, Brauer group and splitting fields

Saurabh Gosavi, Rutgers University

Location:  Hill 525
Date & time: Monday, 23 October 2017 at 1:00PM - 2:00PM

Abstract: A Central simple algebra is a matrix algebra with entries in a finite dimensional division algebra over a field. We can put a group structure on the collection of central simple algebras, called the Brauer group. We will talk about whether we can "distinguish" elements in the Brauer group of rational numbers via their splitting fields. In the end, I will briefly try to explain the stuff that I have been thinking about and rant a bit about the slow progress.

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