9 papers
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…
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…
Critical values of -functions of residual representations of
Johannes Droschl
In this paper we prove rationality results of critical values for -functions attached to representations in the residual spectrum of . We use the Jacq…
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…
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…
A note on the Howe Duality conjecture for symplectic-orthogonal and unitary pairs
Johannes Droschl
In this short note we expand on recent results on the degenerate principle series of classical groups associated to and a quadratic character . In p…