|
Status |
Confirmed |
|
Seminar Series |
MATH-IHES |
|
Subjects |
hep-th |
|
Date |
Wednesday 12 December 2018 |
|
Time |
10:00 |
|
Institute |
IHES |
|
Seminar Room |
Centre de conférences Marilyn et James Simons |
|
Speaker's Last Name |
Chenevier |
|
Speaker's First Name |
Gaëtan |
|
Speaker's Email Address |
|
|
Speaker's Institution |
CNRS, Université Paris-Sud |
|
Title |
A higher weight (and automorphic) generalization of the Hermite-Minkowski theorem |
|
Abstract |
I will show that for any integer N, there are only finitely many cuspidal algebraic automorphic representations of GL_m over Q whose Artin conductor is N and whose "weights" are in the interval {0,...,23} (with m varying). Via the conjectural yoga between geometric Galois representations (or motives) and algebraic automorphic forms, this statement may be viewed as a generalization of the classical Hermite-Minkowski theorem in algebraic number theory. I will also discuss variants of these results when the base field Q is replaced by an arbitrary number field. |
|
arXiv Preprint Number |
|
|
Comments |
Séminaire de Géométrie Arithmétique Paris-Pékin-Tokyo |
|
Attachments |
|
