A Conference in Arithmetic Algebraic Geometry in Memory of Jan Nekovář

Collection A Conference in Arithmetic Algebraic Geometry in Memory of Jan Nekovář

Organizer(s) Anna Cadoret, Wiesława Nizioł, Sarah Zerbes

Date(s) 09/10/2023 - 13/10/2023

linked URL https://indico.math.cnrs.fr/event/9977/

00:00:00 / 00:00:00

11 20

Sato-Tate for Bianchi modular forms

By James Newton

Also appears in collection : ECM 2024 Invited Speakers

I'll discuss potential automorphy results which imply the Ramanujan and Sato-Tate conjectures for regular algebraic cuspidal automorphic representations of GL(2) over an imaginary quadratic field. This generalizes results in the "10 author paper" which restricted to cohomological weight 0, and is joint work with George Boxer, Frank Calegari, Toby Gee and Jack Thorne. New ingredients include an application of my work with Ana Caraiani on local-global compatibility, pieces of the cohomology of Dwork hypersurfaces previously investigated by Lie Qian, and a generic reducedness result for mod p fibres of local deformation rings.

Information about the video

Date of recording 11/10/2023
Date of publication 12/10/2023
Institution IHES
Language English
Audience Researchers, Graduate Students
Format MP4

Domain(s)

Number Theory

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Eigenvarieties and completed cohomology

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