gl2 representations 1iwahori filtration 1mod p cohomology 1principal congruence subgroup 1shimura curves 1
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math.NT2024
Extremal weights and a tameness criterion for mod Galois representations
Daniel Le, Bao Viet Le Hung, Brandon Levin +1
We study the weight part of Serre's conjecture for generic -dimensional mod Galois representations. We first generalize Herzig's conjecture to the case where the field is ra…
math.NT2024
Multivariable (,)-modules and local-global compatibility
Christophe Breuil, Florian Herzig, Yongquan Hu +2
Let be a prime number, a finite unramified extension of and a finite extension of . Using perfectoid spaces we associate to any fi…