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math.NT2026
Resolutions of spaces of crystalline representations and modularity
Robin Bartlett, Bao V. Le Hung, Brandon Levin
We introduce a new partial resolution of crystalline spaces of Galois representations when the gaps in Hodge--Tate weights are smaller than , with no bound on ramification. Furt…
math.NT2026
Gelfand--Kirillov dimension and mod cohomology for inner forms of
Andrea Dotto, Bao V. Le Hung
Under standard assumptions, we compute the GK-dimension of Hecke eigenspaces in the mod cohomology of an inner form of over a totally real field unra…