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Speaker:

Alexander Betts
Affiliation:

MPIM
Date:

Wed, 2019-05-29 14:30 - 15:30
Location:

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.

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