Serre's modularity conjecture
id:
serre-s-modularity-conjecture-304-13435615
title:
Serre's modularity conjecture
text:
In mathematics, Serre's modularity conjecture, introduced by Jean-Pierre Serre (1975, 1987), states that an odd, irreducible, two-dimensional Galois representation over a finite field arises from a modular form. A stronger version of this conjecture specifies the weight and level of the modular form. The conjecture in the level 1 case was proved by Chandrashekhar Khare in 2005, and a proof of the full conjecture was completed jointly by Khare and Jean-Pierre Wintenberger in 2008.
brand slug:
wiki
category slug:
encyclopedia
description:
Conjecture in number theory
original url:
https://en.wikipedia.org/wiki/Serre%27s_modularity_conjecture
date created:
date modified:
2024-03-07T09:27:49Z
main entity:
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image:
fields total:
13
integrity:
14