6 papers
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…
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…
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…
Cohomology of -adic Chevalley groups
Andrea Dotto, Bao V. Le Hung
Let be a split connected reductive group over the ring of integers of a finite unramified extension of . Under a standard assumption on the Coxeter number of…
Mirror symmetry and the Breuil-Mézard Conjecture
Tony Feng, Bao Le Hung
The Breuil-Mézard Conjecture predicts the existence of hypothetical "Breuil-Mezard cycles" in the moduli space of mod Galois representations of $\mathrm{Gal}(\overline{\mathbb…
Generic decompositions of Deligne--Lusztig representations
Daniel Le, Bao V. Le Hung, Brandon Levin +1
Let be a reductive group over with simply connected derived subgroup, (geometrically) connected center and Coxeter number . We extend Jantzen's generic de…