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math.NT2015
General Serre weight conjectures
Toby Gee, Florian Herzig, David Savitt
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 Bre…
math.NT2015
Potentially crystalline lifts of certain prescribed types
Toby Gee, Florian Herzig, Tong Liu +1
We prove several results concerning the existence of potentially crystalline lifts with prescribed Hodge-Tate weights and inertial types of a given n-dimensional mod p representati…