9 papers · 1 filter
Generalized Jantzen filtration, hyperbolic restriction, and characteristic cycles
Johannes Droschl
In this paper we give a geometric description of the behavior of analytic intertwining operators between parabolically induced representations of , where…
Lifting banal representations of classical groups
Johannes Droschl
Let be a symplectic or a split orthogonal group over a local non-archimedean field . A prime is called banal with respect to if it does…
The -modular local theta correspondence in type II and partial permutations
Johannes Droschl
In this paper we compute the multiplicities appearing in the -modular theta correspondence in type II over a non-archimedean field , where…
Poles of intertwining operators in terms of irreducible components of Lusztig's characteristic variety in type A
Johannes Droschl
In this paper, we propose a conjectural formula for the order of the poles of intertwining operators in the context of the representation theory of general linear groups over -a…
The spectrum of the symplectic Grassmannian and
Johannes Droschl
Let be a reductive group and a spherical -variety over a local non-archimedean field . We denote by th…
The generic extension map and modular standard modules
Johannes Droschl
In this paper we study two classes of -modular standard modules of the general linear group. The first class is obtained by reducing existing standard modules over $\overline…