A simplified proof of Serre's Conjectures
Luis Victor Dieulefait, Ariel Mart\'in Pacetti
TL;DR
This paper offers a simplified proof of Serre's modularity conjecture by leveraging recent strong modularity lifting results, making the complex proof more accessible and detailed.
Contribution
It provides a more straightforward proof of Serre's conjecture, enhancing understanding with additional definitions and detailed explanations.
Findings
Simplified proof of Serre's conjecture
Utilizes recent modularity lifting theorems
Includes detailed definitions and proofs
Abstract
The purpose of this short note is to present a simplified proof of Serre's modularity conjecture using the strong modularity lifting results currently available. This second version includes extra details on definitions and proofs than the previous one.
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Taxonomy
TopicsMathematical Dynamics and Fractals · Advanced Topology and Set Theory · Geometric and Algebraic Topology