Reductions of Galois representations via the mod p Local Langlands Correspondence
نویسندگان
چکیده
منابع مشابه
WEIGHTS IN GENERALIZATIONS OF SERRE’S CONJECTURE AND THE MOD p LOCAL LANGLANDS CORRESPONDENCE
In this mostly expository article we give a survey of some of the generalizations of Serre’s conjecture and results towards them that have been obtained in recent years. We also discuss recent progress towards a mod p local Langlands correspondence for p-adic fields and its connections with Serre’s conjecture. A theorem describing the structure of some mod p Hecke algebras for GLn is proved.
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ژورنال
عنوان ژورنال: Journal of Number Theory
سال: 2015
ISSN: 0022-314X
DOI: 10.1016/j.jnt.2014.07.011