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Finite descent and the Lawrence--Venkatesh method

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Speaker: 
Alexander Betts
Affiliation: 
King's College London/MPIM
Date: 
Wed, 2020-08-26 14:30 - 15:30
Parent event: 
Number theory lunch seminar

If Y is a curve of genus at least 2 over a number field, then the finite descent obstruction cuts out a subset of the adelic points, which is
conjecturally equal to the set of rational points. In particular, we expect this set to be finite. In this talk, I will present ongoing work with Jakob
Stix proving that certain projections of the finite descent locus are finite, as predicted by this conjecture. The method we employ can be
loosely described as "Lawrence--Venkatesh for Grothendieck's section set".

 

Zoom Online Meeting ID: 919 6497 4060
For password see the email or contact Pieter Moree (moree@mpim...).

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