Franco-Asian Summer School on Arithmetic Geometry

Collection Franco-Asian Summer School on Arithmetic Geometry

Organizer(s) Ahmed Abbes (CNRS & IHÉS), Ana Caraiani (Imperial College London ), Ariane Mézard (Sorbonne Université), Takeshi Saito (University of Tokyo), Takeshi Tsuji (The University of Tokyo), Daxin Xu (Chinese Academy of Sciences), Weizhe Zheng (Chinese Academy of Sciences).

Date(s) 30/05/2022 - 03/06/2022

linked URL https://www.ihes.fr/~abbes/Luminy/luminy2022.html

00:00:00 / 00:00:00

19 23

Modularity over CM fields

By Ana Caraiani

I will discuss joint work in progress with James Newton, where we prove a local-global compatibility result in the crystalline case for Galois representations attached to torsion classes occurring in the cohomology of locally symmetric spaces. I will then explain an application to the modularity of elliptic curves over imaginary quadratic fields, which also builds on recent work of Allen-Khare--Thorne.

Information about the video

Date of recording 30/05/2022
Date of publication 20/06/2022
Institution IHES
Language English
Audience Researchers, Graduate Students
Format MP4
Venue CIRM

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