Johannes Droschl

collaborators

3 papers

math.RT2025

The spectrum of the symplectic Grassmannian and $Mat_{n, m}$

Johannes Droschl

Let $G$ be a reductive group and $X$ a spherical $G$ -variety over a local non-archimedean field $F$ . We denote by $S (X (F))$ th…

math.RT2025

The generic extension map and modular standard modules

Johannes Droschl

In this paper we study two classes of $ℓ$ -modular standard modules of the general linear group. The first class is obtained by reducing existing standard modules over $\overline…

math.RT2025

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 $I (s, χ)$ of classical groups associated to $s \in C$ and a quadratic character $χ$ . In par…

The spectrum of the symplectic Grassmannian and Matn,m​

The generic extension map and modular standard modules

A note on the Howe Duality conjecture for symplectic-orthogonal and unitary pairs

The spectrum of the symplectic Grassmannian and $Mat_{n, m}$