Published on *Max-Planck-Institut für Mathematik* (https://www.mpim-bonn.mpg.de)

Posted in

- Vortrag [1]

Speaker:

Alexander Betts
Zugehörigkeit:

MPIM
Datum:

Mit, 2019-05-29 14:30 - 15:30 The Q_l-pro-unipotent non-abelian Kummer map associated to a curve X is a certain function controlling the existence of Galois-invariant paths between points of X, and plays an important role in the non-abelian Chabauty method for finding rational points. In this talk, I will report on a project with Netan Dogra, in which we compute these maps explicitly when the base field is p-adic, obtaining a description of them in terms of harmonic analysis on the reduction graph of X. As a result, we are able to prove injectivity results for these maps.

**Links:**

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

[2] https://www.mpim-bonn.mpg.de/de/node/3444

[3] https://www.mpim-bonn.mpg.de/de/node/246