Transcendental Brauer-Manin obstructions on some Calabi-Yau threefolds
ALGEBRAIC GEOMETRY & NUMBER THEORY SEMINAR
Date
Thursday, November 19, 2020 14:00 - 15:00
Speaker
Sachi Hashimoto (Boston University, Massachusetts)
Location
https://mathseminars.org/seminar/AGNTISTA
Series
Seminar/Talk
Tags
Mathematics and CS Seminar, mathematical_seminar_ics
Host
Tim Browning
Contact
We study the arithmetic properties of a family of Calabi-Yau threefolds originally studied by Hosono and Takagi in the context of mirror symmetry. The geometry of these varieties endows them with a 2-torsion Brauer class. Under mild conditions, we show this Brauer class prevents the rational points from being dense in the adelic points. This is joint work with Katrina Honigs, Alicia Lamarche, and Isabel Vogt.