6 papers · 1 filter
To be or not to be local
Christophe Breuil, Florian Herzig, Yongquan Hu +4
Let be a prime number and a finite unramified extension of . For a smooth representation of occurring in some Hecke eigenspace of the m…
On the constituents of the mod cohomology of Shimura curves
Christophe Breuil, Florian Herzig, Yongquan Hu +2
Let be a prime number and a finite unramified extension of . When is large enough with respect to and under mild genericity assumptions…
Finite length for unramified
Christophe Breuil, Florian Herzig, Yongquan Hu +2
Let be a prime number and a finite unramified extension of . If is large enough with respect to and under mild genericity assumptions,…
-invariants in the mod cohomology of arithmetic manifolds
Daniel Le, Bao Viet Le Hung, Stefano Morra
Let be a CM extension and a definite unitary group in three variables that splits over . We describe Hecke isotypic components of mod algebraic modular fo…
Local model theory for non-generic tame potentially Barsotti--Tate deformation rings
Bao Viet Le Hung, Ariane Mézard, Stefano Morra
We develop a local model theory for moduli stacks of -dimensional non-scalar tame potentially Barsotti--Tate Galois representations of the Galois group of an unramified extensio…
Gelfand-Kirillov dimension for mod representations of -adic unitary groups of rank 2
Karol Koziol, Stefano Morra
Let be a prime number and a CM extension of a totally real field such that every place of above is unramified and inert in . We fix a finite place of $…