Joint IAS/Princeton University Number Theory Seminar

Selmer groups and a Cassels-Tate pairing for finite Galois modules

I will discuss some new results on the structure of Selmer groups of finite Galois modules over global fields. Tate's definition of the Cassels-Tate pairing can be extended to a pairing on such Selmer groups with little adjustment, and many of the fundamental properties of the Cassels-Tate pairing can be reproved with new methods in this setting. I will also give a general definition of the theta/Mumford group and relate it to the structure of the Cassels-Tate pairing, generalizing work of Poonen and Stoll.

Date & Time

February 25, 2021 | 4:30pm – 5:30pm

Location

Remote Access

Speakers

Alexander Smith

Affiliation

Massachusetts Institute of Technology

Event Series

Categories

Notes

Zoom link password hint: the three digit integer that is the cube of the sum of its digits.

Video link: https://www.ias.edu/video/selmer-groups-and-cassels-tate-pairing-finite…