Tobias Schmidt

activity

20072023

most citedAnalytic vectors in continuous p-adic representations

17 citations · 46 across the 21 of their papers we have counts for

collaborators

25 papers

math.NT2023★ 1 cited

Lubin-Tate moduli space of semisimple mod p Galois representations for GL_2 and Hecke modules

Cédric Pépin, Tobias Schmidt

Let $p$ be an odd prime. Let $F$ be a non-archimedean local field of residue characteristic $p$ , and let $F_{q}$ be its residue field. Let $H_{F_{q}}^{(1)}$ …

math.AG2021★ 1 cited

Kashiwara's theorem for twisted arithmetic differential operators

Christine Huyghe, Tobias Schmidt

We establish a version of Kashiwara's theorem for twisted sheaves of Berthelot's arithmetic differential operators for a closed immersion between smooth p-adic formal schemes. As a…

math.NT2020★ 1 cited

A semisimple mod $p$ Langlands correspondence in families for $G L_{2} (Q_{p})$

Cédric Pépin, Tobias Schmidt

This is the sequel to arXiv:2007.01364v1. Let $F$ be any local field with residue characteristic $p > 0$ , and $H_{F_{p}}^{(1)}$ be the mod $p$ pro- $p$ -Iwa…

math.NT2020★ 2 cited

Generic and Mod p Kazhdan-Lusztig Theory for GL_2

Cédric Pépin, Tobias Schmidt

Let $F$ be a non-archimedean local field with residue field $F_{q}$ and let $G = G L_{2/ F}$ . Let $q$ be an indeterminate and let $H^{(1)} (q)$ be the generic…

math.AG2020

Intermediate extensions and crystalline distribution algebras

Christine Huyghe, Tobias Schmidt

Let G be a connected split reductive group over a complete discrete valuation ring of mixed characteristic. We use the theory of intermediate extensions due to Abe-Caro and arithme…

math.NT2019

Irreducible mod $p$ Lubin-Tate $(φ, Γ)$ -modules

Cédric Pépin, Tobias Schmidt

Let $F$ be a finite extension of $Q_{p}$ . We determine the Lubin-Tate $(φ, Γ)$ -modules associated to the absolutely irreducible mod $p$ representations of the absolute Galois…

math.NT2019

Mod p Hecke algebras and dual equivariant cohomology I: the case of $G L_{2}$

Cédric Pépin, Tobias Schmidt

Let $F$ be a p-adic local field and $G = G L_{2} (F)$ . Let $H^{(1)}$ be the pro-p Iwahori-Hecke algebra of $G$ with coefficients in an algebraic closure of $F_{p}$ . We s…

math.AG2017★ 6 cited

Arithmetic structures for differential operators on formal schemes

Christine Huyghe, Tobias Schmidt, Matthias Strauch

Let $o$ be a complete discrete valuation ring of mixed characteristic $(0, p)$ and $X_{0}$ a smooth formal scheme over the formal spectrum of $o$ .…

math.RT2017★ 6 cited

Functorial properties of generalised Steinberg representations

Julien Hauseux, Tobias Schmidt, Claus Sorensen

Let $G$ be the $F$ -points of a connected reductive group over a non-archimedean local field $F$ of residue characteristic $p$ and $R$ be a commutative ring. Let $P = LU$ be a parabol…

math.RT2016★ 1 cited

Deformation rings and parabolic induction

Julien Hauseux, Tobias Schmidt, Claus Sorensen

We study deformations of smooth mod $p$ representations (and their duals) of a $p$ -adic reductive group $G$ . Under some mild genericity condition, we prove that parabolic induction…

math.RT2015

Hecke algebras and affine flag varieties in characteristic p

Tobias Schmidt

Let G be a split semi-simple p-adic group and let H be its Iwahori-Hecke algebra with coefficients in the algebraic closure k of the finite field with p elements. Let F be the affi…

math.RT2015★ 2 cited

D^\dagger-affinity of formal models of flag varieties

Christine Huyghe, Deepam Patel, Tobias Schmidt +1

Let G be the group of L-rational points of a connected split reductive group over a finite extension L of Q_p. We show that formal models of the algebraic flag variety X of G are D…

math.RT2014

Arithmetic differential operators on a semistable model of $P^{1}$

Deepam Patel, Tobias Schmidt, Matthias Strauch

In this paper we study sheaves of logarithmic arithmetic differential operators on a particular semistable model of the projective line. The main result here is that the first coho…

math.RT2014★ 1 cited

Locally analytic representations of $GL (2, L)$ via semistable models of $P^{1}$

Deepam Patel, Tobias Schmidt, Matthias Strauch

In this paper we study certain sheaves of $p$ -adically complete rings of differential operators on semistable models of the projective line over the ring of integers in a finite ex…

math.RT2014

Dimensions of some locally analytic representations

Tobias Schmidt, Matthias Strauch

Let $G$ be the group of points of a split reductive group over a finite extension of $Q_{p}$ . In this paper, we compute the dimensions of certain classes of locally analyti…

math.RT2013

Integral models of P^1 and analytic distribution algebras for GL_2

Deepam Patel, Tobias Schmidt, Matthias Strauch

In the first part of the paper we show that the ring of global sections of arithmetic differential operators on the formal projective line over Zp is isomorphic to the analytic dis…

math.RA2012

Forms of an affinoid disc and ramification

Tobias Schmidt

Let $k$ be a complete nonarchimedean field and let $X$ be an affinoid closed disc over $k$ . We classify the tamely ramified twisted forms of $X$ . Generalizing work of P. Russell on…

math.RT2012★ 5 cited

Locally analytic representations and sheaves on the Bruhat-Tits building

Deepam Patel, Tobias Schmidt, Matthias Strauch

Let L be a finite field extension of Q_p and let G be the group of L-rational points of a split connected reductive group over L. We view G as a locally L-analytic group with Lie a…

math.RT2011★ 1 cited

On locally analytic Beilinson-Bernstein localization and the canonical dimension

Tobias Schmidt

Let G be a connected split reductive group over a p-adic field. In the first part of the paper we prove, under certain assumptions on G and the prime p, a localization theorem of B…

math.RT2010★ 1 cited

Verma modules over p-adic Arens-Michael envelopes of reductive Lie algebras

Tobias Schmidt

Let K be a locally compact nonarchimedean field, g a split reductive Lie algebra over K and U(g) its universal enveloping algebra. We study the category C_g of coadmissible modules…

math.RT2009

On unitary deformations of smooth modular representations

Tobias Schmidt

Let G be a locally analytic group. We use deformation theory and Emerton's 'augmented' Iwasawa modules to study the possible liftings of a given absolutely irreducible smooth modul…

math.RT2009★ 1 cited

Picard groups in $p$ -adic Fourier theory

Tobias Schmidt

Let $L$ be a proper finite extension of the field of $p$ -adic numbers and let $o \subset L$ be its integers, viewed as an abelian locally $L$ -analytic group. Let $o^$ be the ri…

math.RT2008

Stable flatness of nonarchimedean hyperenveloping algebras

Tobias Schmidt

Let L be a p-adic local field and g a finite dimensional Lie algebra over L. We show that its hyperenveloping algebra F(g) is a stably flat completion of its universal enveloping a…

math.RT2007★ 17 cited

Analytic vectors in continuous p-adic representations

Tobias Schmidt

Given a compact p-adic Lie group G over a finite unramified extension L/Q_p let G_0 be the product over all Galois conjugates of G. We construct an exact and faithful functor from…

Lubin-Tate moduli space of semisimple mod p Galois representations for GL_2 and Hecke modules

Kashiwara's theorem for twisted arithmetic differential operators

A semisimple mod p Langlands correspondence in families for GL2​(Qp​)

Generic and Mod p Kazhdan-Lusztig Theory for GL_2

Intermediate extensions and crystalline distribution algebras

Irreducible mod p Lubin-Tate (φ,Γ)-modules

Mod p Hecke algebras and dual equivariant cohomology I: the case of GL2​

Arithmetic structures for differential operators on formal schemes

Functorial properties of generalised Steinberg representations

Deformation rings and parabolic induction

Hecke algebras and affine flag varieties in characteristic p

D^\dagger-affinity of formal models of flag varieties

Arithmetic differential operators on a semistable model of P1

Locally analytic representations of GL(2,L) via semistable models of P1

Dimensions of some locally analytic representations

Integral models of P^1 and analytic distribution algebras for GL_2

Forms of an affinoid disc and ramification

Locally analytic representations and sheaves on the Bruhat-Tits building

On locally analytic Beilinson-Bernstein localization and the canonical dimension

Verma modules over p-adic Arens-Michael envelopes of reductive Lie algebras

On unitary deformations of smooth modular representations

Picard groups in p-adic Fourier theory

Stable flatness of nonarchimedean hyperenveloping algebras

Analytic vectors in continuous p-adic representations

A semisimple mod $p$ Langlands correspondence in families for $G L_{2} (Q_{p})$

Irreducible mod $p$ Lubin-Tate $(φ, Γ)$ -modules

Mod p Hecke algebras and dual equivariant cohomology I: the case of $G L_{2}$

Arithmetic differential operators on a semistable model of $P^{1}$

Locally analytic representations of $GL (2, L)$ via semistable models of $P^{1}$

Picard groups in $p$ -adic Fourier theory