Published on *Max Planck Institute for Mathematics* (http://www.mpim-bonn.mpg.de)

Posted in

- Talk [1]

Speaker:

David Corwin
Affiliation:

MSRI Berkeley/MPIM
Date:

Thu, 26/08/2021 - 15:00 - 16:00 https://zoom.us/j/93172910947

Meeting ID: 931 7291 0947

For password please contact Christian Kaiser (kaiser@mpim-bonn.mpg.de).

Solutions to Diophantine equations (aka rational and integral points on varieties) may be studied using a variety of methods. I’ll survey some of the ways that Galois theory (of the rationals) and topology (of the complex manifold underlying the variety) may be used for that purpose. A key notion relating rational points to Galois theory and topology is the Galois-equivariant torsor(s) associated to a rational point. After going over the basic idea, I’ll indicate how this comes up in two of my research areas: 1) obstructions to the local-global (Hasse) principle, and 2) non-abelian Chabauty’s method.

**Links:**

[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39

[2] http://www.mpim-bonn.mpg.de/node/158