Skip to main content

Non-abelian Kummer maps for curves

Posted in
Alexander Betts
Mit, 2019-05-29 14:30 - 15:30
MPIM Lecture Hall
Parent event: 
Number theory lunch seminar

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.

© MPI f. Mathematik, Bonn Impressum & Datenschutz
-A A +A