Number theory seminar: Tuesday Jan 24
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Masahiro Nakahara
Jan 20, 2023, 2:32:38 PM1/20/23
to Number Theory at Univ. of Washington
Hi everyone,
The next NT seminar will be Sam Streeter from the Heilbronn Institute giving a virtual talk.
Time: Tuesday, Jan 24, 11am
Zoom link passcode: C401
Title: Semi-integral points and local-global principles
Abstract: Local-global principles in arithmetic geometry have been of great interest ever since the proof of the Hasse--Minkowski theorem, concerning quadric hypersurfaces, almost 100 years ago. A new and exciting chapter began with the introduction of the Brauer--Manin obstruction (BMO) in the 1970s, which can explain the failure of such principles. In 2007, Colliot-Th\'el\`ene and Xu developed a version of the BMO for integral points and studied it in the context of affine quadrics. In this talk, we will introduce semi-integral points and develop both local-global principles and the BMO in the semi-integral context. We will give general results for this obstruction before focusing on semi-integral points associated to quadrics, in keeping with historical precedent. This talk is based on joint work with Vladimir Mitankin and Masahiro Nakahara.
See you there!
Masahiro
Bianca Viray
Jan 24, 2023, 2:01:33 PM1/24/23
to ntuw
---------- Forwarded message ---------
From: Masahiro Nakahara <mosh...@gmail.com>
Date: Fri, Jan 20, 2023 at 11:32 AM
Subject: [ntuw] Number theory seminar: Tuesday Jan 24
To: Number Theory at Univ. of Washington <nt...@googlegroups.com>
From: Masahiro Nakahara <mosh...@gmail.com>
Date: Fri, Jan 20, 2023 at 11:32 AM
Subject: [ntuw] Number theory seminar: Tuesday Jan 24
To: Number Theory at Univ. of Washington <nt...@googlegroups.com>
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Bianca Viray (she/her)
Craig McKibben and Sarah Merner Professor of Mathematics
University of Washington
Seattle, WA 98195
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