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