Number theory seminar this week: Sam Roven

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Bianca Viray

Apr 26, 2021, 1:49:12 PM4/26/21
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Hi everyone,

Our speaker this week is UW's own Sam Roven who will be speaking on "Investigating the Hasse principle for conic bundles"(abstract below).  As usual, please come prepared to ask questions!

Zoom link. Meeting ID: 995 4255 2693 Passcode: C401, Tuesday 10am - 10:55am for lunch, Tuesday 12:30 - 1:30pm

Abstract: Have you started thinking about what you will do when quarantine ends? When you are at your next family gathering, what will you do when your distant cousin starts aggressively asking you everything you know about conic bundles and whether or not they satisfy the Hasse principle? In this talk, we discuss answers to this question and more. In particular, we consider special types of conic bundles over \mathbb{P}^1, known as Ch\^atelet surfaces, and investigate methods for finding rational points on them. We will begin by introducing the Hasse principle, giving some historical results for conic bundles as well as an explicit example. We will additionally discuss some recent results concerning the failure (or lack thereof) of the Hasse principle when we base change to even degree extensions and will illustrate a key part of the proof of these results.

Bianca Viray (she/her)
Associate Professor
Department of Mathematics
University of Washington
Seattle, WA 98195
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