Title	Rational points and derived equivalence
Creator	Frei, Sarah
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2019-11-11T16:30
Description	It is natural to ask which properties of a smooth projective variety are recovered by its derived category. In this talk, I will consider the question: is the existence of a rational point preserved under derived equivalence In recent joint work with Nicolas Addington, Benjamin Antieau, and Katrina Honigs, we show that over Q, the answer is no. We give two examples: an abelian variety and a torsor over it, and a pair of hyperkaehler fourfolds. The latter is independently interesting as a new example of a transcendental Brauer-Manin obstruction to the Hasse principle.
Extent	46.0 minutes
Subject	Mathematics; Algebraic geometry; Associative rings and algebras
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Rice University
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2020-09-10
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0394299
URI	http://hdl.handle.net/2429/75958
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Postdoctoral
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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