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Transcendental Brauer-Manin obstructions on a Calabi-Yau threefold

Isabel Vogt, University of Washington
Tuesday, November 3, 2020 - 10:00am to 11:00am
Zoom (UW Math department members can access the zoom link at https://sites.math.washington.edu/intranet/WholeDept/zoom.php )
Isabel Vogt

In this talk, I will discuss arithmetic aspects of a family Calabi-Yau threefolds originally studied by Hosono and Takagi in the context of mirror symmetry.  These varieties come equipped with a natural 2-torsion Brauer class, and we show that under mild conditions on the threefold, this prevents the rational points from being dense in the adelic points. This is joint work with Sachi Hashimoto, Katrina Honigs, and Alicia Lamarche.


This year our seminar is running with a new format to try to promote more interaction in our Zoom world.  The idea is to have a shorter talk with regular 5min Q&A breaks sprinkled throughout.  The exact schedule will be left up to the speaker, but an example of what we're envisioning is as follows:

7-10 minutes of Introduction/Motivation/Background
5 min Q&A, e.g. asking for further examples, more details on what is already known, or clarifying questions
7-10 minutes of Statement of results/Prior work or ideas of proof
5 min Q&A, e.g., asking about hypotheses, connecting statements to previous work mentioned in the first slot, etc.
15-20 minutes of discussion of the proof: could be entirely speaker-led, or could be more of back and forth with the audience, depending on the topic.
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