activity
20202026
collaborators

5 papers

math.RT2026

Pro-p Iwahori Hecke algebras and the dual Vinberg monoid

Tobias Schmidt

Let G be a split reductive group over the integers, F a p-adic local field with residue field Fq. We relate the pro-p-Iwahori Hecke algebra H of G(F) over Fq to the Vinberg monoid…

cs.MA2026

Mean-Field Control on Sparse Graphs: From Local Limits to GNNs via Neighborhood Distributions

Tobias Schmidt, Kai Cui

Mean-field control (MFC) offers a scalable solution to the curse of dimensionality in multi-agent systems but traditionally hinges on the restrictive assumption of exchangeability…

math.NT2025

Irreducibility results for equivariant -modules on rigid analytic spaces

Konstantin Ardakov, Tobias Schmidt

We prove a general irreducibility result for geometrically induced coadmissible equivariant -modules on rigid analytic spaces. As an application, we geometrically repr…

math.PR2024

Explicit bounds for a Gaussian decomposition Lemma of Sellke

Tobias Schmidt

In arXiv:2212.14023 a decomposition of Gaussian measures on finite-dimensional spaces was introduced, which turned out to be a central technical tool to improve currently known bou…

math.RT2020

Weakly holonomic equivariant -modules on rigid analytic spaces

Tobias Schmidt, Thi Minh Phuong Vu

Let G be a -adic Lie group. We develop a dimension theory for coadmissible G-equivariant -modules on smooth rigid analytic spaces. We introduce the category of weak…