3 papers
math.NT2025
Serre weight conjectures for
Daniel Le, Bao V. Le Hung, Heejong Lee
We prove the weight part of Serre's conjecture for Galois representations valued in that are tamely ramified with explicit genericity at places above as conjec…
math.NT2024
Spectral mod p Satake isomorphism for GL_n
Heejong Lee
Let be a finite extension with residue field . By a work of Emerton--Gee, irreducible components inside the reduced special fiber of the moduli stack of rank $n…
math.NT2023
Irregular loci in the Emerton-Gee stack for GL_2
Rebecca Bellovin, Neelima Borade, Anton Hilado +5
Let K/Q_p be unramified. Inside the Emerton-Gee stack X_2, one can consider the locus of two-dimensional mod p representations of the absolute Galois group of K having a crystallin…