Homepage von Tobias Schmidt

Kontakt Prof. Dr. Tobias Schmidt Bergische Universität Wuppertal Fakultät Mathematik und Naturwissenschaften Gaußstraße 20 D-42119 Wuppertal Raum F.13.07 E-Mail toschmidt(a-in-o)uni-wuppertal.de Tel +49 (0)202 439 2764 Sekretariat Kirsten Wilshaus Raum F.13.08 E-Mail wilshaus(a-in-o)math.uni-wuppertal.de Tel +49 (0)202 439 2663

Arbeitsgruppe Algebra und Zahlentheorie

Lehre und Seminare

Doktoranden

• Théo Mangenot

• Ziqian Yin

• Andrès Sarrazola Alzate, Localisation de représentations localement analytiques admissibles. Doktorarbeit 2019, Universitäten Rennes und Straßburg.

• Thi Minh Phuong Vu, Weak holonomicity for equivariant D-modules on rigid analytic spaces. Doktorarbeit 2020, Universität Rennes.

• Raoul Hallopeau, Microlocalisation des D-modules coadmissibles sur une courbe formelle. Doktorarbeit 2023, Universitäten Rennes und Straßburg.

Publications

• Weakly holonomic equivariant D-modules on rigid analytic spaces
  (with P. Vu). Preprint 2024, submitted for publication pdf

• Lubin-Tate moduli space of semisimple mod p Galois representations for GL_2 and Hecke modules
  (with C. Pépin). Preprint 2023, submitted for publication pdf

• Semisimple Langlands for GL_2(Q_p) and mod p Hecke modules
  (with C. Pépin). Preprint 2020 (revised 12/2024), submitted for publication pdf

• Kashiwara's theorem for twisted arithmetic differential operators
  (with C. Huyghe). Annales de la Faculté des Sciences de Toulouse (to appear) pdf

• Generic and Mod p Kazhdan-Lusztig Theory for GL_2
  (with C. Pépin). Representation Theory 27 (2023), 1142--1193 pdf

• On virtual quotients for actions of semigroups
  (with C. Pépin). Preprint 2020, currently not intended to be published pdf

• Arithmetic differential operators with congruence level structures: first results and examples
  (with C. Huyghe, M. Strauch). Journal of Number Theory 237 (2022), 332--352 pdf

• Intermediate extensions and crystalline distribution algebras
  (with C. Huyghe). Documenta Mathematica 26 (2021), 2005--2059 pdf

• Arithmetic structures for differential operators on formal schemes
  (with C. Huyghe, M. Strauch). Nagoya Mathematical Journal 243 (2021), 157--204 pdf


• D-modules arithmétiques sur la variété de drapeaux
  (with C. Huyghe). Journal für die reine und angewandte Mathematik 754 (2019), 1--15 pdf


• D^dagger-affinity of formal models of flag varieties
  (with C. Huyghe, D. Patel, M. Strauch). Mathematical Research Letters 26 (2019), no. 6, 1677--1745 pdf


• Arithmetic differential operators on a semistable model of P^1
  (with D. Patel, M. Strauch). Mathematische Zeitschrift 293 (2019), no. 1, 319--338 pdf


• Locally analytic representations of GL(2,L) via semistable models of P^1
  (with D. Patel, M. Strauch). Journal of the Institute of Mathematics of Jussieu 18 (2019), no. 2, 125--187 pdf


• Functorial properties of generalized Steinberg representations
  (with J. Hauseux, C. Sorensen). Journal of Number Theory 195 (2019), 312–-329 pdf


• Mod p Hecke algebras and dual equivariant cohomology
  (with C. Pépin). Oberwolfach Report 30 'Algebraic Number Theory' (2018), 33--36 pdf


• Algèbres de distributions et D-modules arithmétiques
  (with C. Huyghe). Rendiconti del Seminario Matematico della Università di Padova 139 (2018), 1--76 pdf


• Deformation rings and parabolic induction
  (with J. Hauseux, C. Sorensen). Journal de Théorie des Nombres de Bordeaux 30 (2018), no. 2, 695--727 pdf


• Hecke algebras and affine flag varieties in characteristic p
  Journal of Pure and Applied Algebra 220 (2016), no. 9, 3233--3247 pdf


• Dimensions of some locally analytic representations
  (with M. Strauch). Representation Theory 20 (2016), 14--38 pdf


• Forms of an affinoid disc and ramification
  Annales de l'Institut Fourier 65 (2015), no. 3, 1301--1347 pdf


• Integral models of P^1 and analytic distribution algebras for GL(2)
  (with D. Patel, M. Strauch) Münster Journal of Mathematics 7 (2014), 241--271
  (special issue in honor of Peter Schneider's 60th birthday) pdf


• Locally analytic representations and sheaves on the Bruhat-Tits building
  (with D. Patel, M. Strauch) Algebra and Number Theory 8 (2014), no. 6, 1365--1445 pdf


• Picard groups in p-adic Fourier theory
  Manuscripta Mathematica 144 (2014), no. 1, 1--23 pdf


• On locally analytic Beilinson-Bernstein localization and the canonical dimension
  Mathematische Zeitschrift 275 (2013), no. 3, 793--833 pdf


• Verma modules over p-adic Arens-Michael envelopes of reductive Lie algebras
  Journal of Algebra 390 (2013), 160--180 pdf


• On unitary deformations of smooth modular representations
  Israel Journal of Mathematics 193 (2013), 15--46 pdf


• Classical Modular forms and Galois representations
  in: Guwahati Workshop on Iwasawa Theory of Totally Real Fields,
  RMS Lecture Notes Series 12 (2010), 1--14 pdf


• Stable flatness of nonarchimedean hyperenveloping algebras
  Journal of Algebra 323 (2010), no. 3, 757--765 pdf


• Analytic vectors in continuous p-adic representations
  Compositio Mathematica 145 (2009), 247--270 pdf
  


• Auslander regularity of p-adic distribution algebras
  Representation Theory 12 (2008), 37--57 (a minor point corrected in 2022) pdf

Konferenzen

• Journées d'Etudes 2023 du GDR Théorie de Lie Algébrique et Géométrique (TLAG), 28.-29. August 2023, Rennes


• Summer school on The automorphic side of the p-adic Langlands Program, 31.7. - 4.8.2023, Wuppertal


• Colloque tournant 2021 du GDR Théorie de Lie Algébrique et Géométrique (TLAG), 24;-26. März 2021, Rennes


• Conference Over and around sites in characteristic p, 18.-20. September 2019, Padua


• Conference Representation Theory and D-modules, 3.-7. Juni 2019, Rennes


• CHL Special Semester 2019 Geometry, Arithmetic and Cryptography: Correspondences du Centre Henri Lebesgue (CHL)


• Clay Workshop D-modules, Geometric Representation theory, and Arithmetic Applications, 4.-8. Dezember 2017, Clay Mathematics Institute, Oxford, UK

Vorträge

• Universität Münster, Mittagsseminar zur Arithmetik, Januar 2024
• Université de Paris VI Jussieu: Séminaire Groupes Réductifs et Formes Automorphes, November 2023
• Universität Münster, Number theory meets p-adic representations, conference in honor of Peter Schneider's 70th birthday, Februar 2023
• Université de Grenoble, AMS-EMS-SMF Joint International Meeting, Special session on Modular Representation Theory, Juli 2022
• Université de Besançon: Séminaire Algèbre et Théorie des Nombres, Mai 2022
• Imperial College London: Conference Tropical Geometry, Berkovich Spaces, Arithmetic D-Modules and p-adic Local Systems, Dezember 2020
• Universität Münster: Mittagsseminar zur Arithmetik, Januar 2020
• Trinity College Dublin: Conference Geometric methods in p-adic representation theory, August 2019
• Università degli Studi di Padova: School on Serre conjectures and the p-adic Langlands program, Juni 2019
• King's College London: Workshop The p-adic Langlands programme and related topics, Mai 2019
• Université de Strasbourg: Séminaire Arithmétique et Géométrie algébrique, Januar 2019
• MFO Oberwolfach: Workshop Algebraische Zahlentheorie, Juni 2018
• Institut Fourier Grenoble: Séminaire Théorie des Nombres, Januar 2018
• Université de Paris VI Jussieu: Séminaire Groupes Réductifs et Formes Automorphes, November 2017
• CIRM Luminy: Conference p-adic analytic geometry and differential equations, März 2017
• Université de Paris XIII: Séminaire Géométrie Arithmétique et Motivique, März 2017
• Universität Heidelberg: Mathematisches Kolloquium, Februar 2017
• École Normale Supérieure de Lyon: Séminaire d'Arithmétique, November 2016
• Universität Frankfurt: Workshop Non-Archimedean Geometry and Algebraic Groups, November 2016
• Université de Caen: XXIXèmes Journées arithmétiques, Juni 2016
• Université de Rennes 1: Séminaire de géométrie algébrique, September 2015
• Université de Paris VI Jussieu: Séminaire Groupes Réductifs et Formes Automorphes, Mai 2015
• Neckarbischofsheim: Workshop on the Galois group of Qp as a geometric fundamental group, Mai 2015

Diverses

• Ein Video im Rahmen der Vortragsreihe 5 minutes Lebesgue des Centre Henri Lebesgue der Universitäten der Bretagne, Frankreich.
• Vorlesungsskript M1 Algèbre de base (ALGB) einer Mastervorlesung, gehalten an der Universität Rennes im WiSe 2015-16.