Johannes Droschl

activity

20232026

collaborators

10 papers

math.RT2026

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 $GL_{n} (F)$ , where…

math.RT2026

Lifting banal representations of classical groups

Johannes Droschl

Let $G$ be a symplectic, a split orthogonal, or an unramified unitary group over a local non-archimedean field $F$ . A prime $ℓ$ is called banal with respect to…

math.RT2026

The $ℓ$ -modular local theta correspondence in type II and partial permutations

Johannes Droschl

In this paper we compute the multiplicities appearing in the $F_{ℓ}$ -modular theta correspondence in type II over a non-archimedean field $F$ , where…

math.RT2025

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 $p$ -a…

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…

math.NT2024

Critical values of $L$ -functions of residual representations of $GL_{4}$

Johannes Droschl

In this paper we prove rationality results of critical values for $L$ -functions attached to representations in the residual spectrum of $GL_{4} (A)$ . We use the Jacq…

math.RT2024

On modular representations of inner forms of $GL_{n}$ over a local non-archimedean field

Johannes Droschl

Let $F$ be a local non-archimedean field of residue characteristic $p$ and $F_{ℓ}$ an algebraic closure of a finite field of characteristic $\ell \neq…

math.RT2023

Proof of a conjecture of Kudla and Rallis on quotients of degenerate principal series

Johannes Droschl

In this paper we prove a conjecture of Kudla and Rallis. Let $χ$ be a unitary character, $s \in C$ and $W$ a symplectic vector space over a non-archimedean field with symme…

Generalized Jantzen filtration, hyperbolic restriction, and characteristic cycles

Lifting banal representations of classical groups

The ℓ-modular local theta correspondence in type II and partial permutations

Poles of intertwining operators in terms of irreducible components of Lusztig's characteristic variety in type A

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

Critical values of L-functions of residual representations of GL4​

On modular representations of inner forms of GLn​ over a local non-archimedean field

Proof of a conjecture of Kudla and Rallis on quotients of degenerate principal series

The $ℓ$ -modular local theta correspondence in type II and partial permutations

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

Critical values of $L$ -functions of residual representations of $GL_{4}$

On modular representations of inner forms of $GL_{n}$ over a local non-archimedean field