TL;DR
This paper revises and extends modularity lifting theorems for two-dimensional p-adic representations, emphasizing arguments applicable to the n-dimensional self-dual case, based on updated notes from the 2013 Arizona Winter School.
Contribution
It provides a generalized approach to modularity lifting theorems, making the arguments applicable to higher-dimensional self-dual representations.
Findings
Extended modularity lifting theorems to n-dimensional cases
Unified arguments applicable to self-dual representations
Updated theoretical framework from 2013 notes
Abstract
Updated version of 2013 Arizona WInter School notes on modularity lifting theorems for for two-dimensional p-adic representations, using wherever possible arguments that go over to the n-dimensional (self-dual) case.
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Taxonomy
Topicsadvanced mathematical theories · Advanced Algebra and Geometry · Topological and Geometric Data Analysis