Universal norms of p-adic Galois representations and the Fargues-Fontaine curve

Gautier Ponsinet (MPIM Bonn)

15-Dec-2020, 13:00-14:30 (3 years ago)

Abstract: In 1996, Coates and Greenberg computed explicitly the module of universal norms associated with an abelian variety in a perfectoid field extension. The computation of this module is essential to Iwasawa theory, notably to prove "control theorems" for Selmer groups generalising Mazur's foundational work on the Iwasawa theory of abelian varieties over Z_p-extensions. Coates and Greenberg then raised the natural question on possible generalisations of their result to general motives. In this talk, I will present a new approach to this question relying on the classification of vector bundles over the Fargues-Fontaine curve, which enables to answer Coates and Greenberg's question affirmatively in new cases.

HEP - theorymathematical physicsalgebraic geometryalgebraic topologycombinatoricsdifferential geometrygeometric topologyquantum algebra

Audience: researchers in the topic


Algebra, Geometry and Physics seminar (MPIM Bonn/HU Berlin)

Series comments: There is a mild moderation: if you are not affiliated to MPIM or HU, please send Gaetan an email to give notice that you would like to attend the seminar (only for the first time). If you wish to be on the mailing list of the seminar, please send an email to Kristina Schulze (schulze@math.hu-berlin.de)

Organizers: Gaetan Borot*, Yuri Manin
*contact for this listing

Export talk to