General Serre weight conjectures
| Autor: | Florian Herzig, David Savitt, Toby Gee |
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| Jazyk: | angličtina |
| Rok vydání: | 2015 |
| Předmět: |
Pure mathematics
Conjecture Mathematics - Number Theory Formalism (philosophy) Applied Mathematics General Mathematics Mathematics::Number Theory 010102 general mathematics Automorphic form Algebraic number field Galois module 01 natural sciences 0103 physical sciences FOS: Mathematics Number Theory (math.NT) 010307 mathematical physics 0101 mathematics Mathematics |
| Popis: | We formulate a number of related generalisations of the weight part of Serre's conjecture to the case of GL(n) over an arbitrary number field, motivated by the formalism of the Breuil-M\'ezard conjecture. We give evidence for these conjectures, and discuss their relationship to previous work. We generalise one of these conjectures to the case of connected reductive groups which are unramified over Q_p, and we also generalise the second author's previous conjecture for GL(n)/Q to this setting, and show that the two conjectures are generically in agreement. Comment: Essentially final version, to appear in J. Eur. Math. Soc. This version will not incorporate any minor changes made in proof |
| Databáze: | OpenAIRE |
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