Dr. Johannes Anschütz

Mathematisches Institut
Universität Bonn
Endenicher Allee 60
53115 Bonn

Telefon

+49-(0)228-7362216

Email

ja(add @math.uni-bonn.de)

Büro

Endenicher Allee 60, Zimmer 4.027

---

Arbeitsgruppe Arithmetische Geometrie und Darstellungstheorie in Bonn

Veranstaltungen WS 23/24

---

Papers/Preprints

• Gaitsgory's central functor and the Arkhipov-Bezrukavnikov equivalence in mixed characteristic (with João Lourenço, Jize, Yu and Zhiyou Wu) , Preprint, 2023.

• Hodge-Tate stacks and non-abelian p-adic Hodge theory of v-perfect complexes on smooth rigid spaces, Preprint, 2023.

• G-bundles on the absolute Fargues-Fontaine curve, Acta Arithmetica 207 (2023), 351-363.

• v-vector bundles on p-adic fields and Sen theory via the Hodge-Tate stack (with Ben Heuer, Arthur-César Le Bras), Preprint, 2022.

• On the p-adic theory of local models (with Ian Gleason, João Lourenço, Timo Richarz), Preprint, 2022.

• A Fourier transform for Banach-Colmez spaces (with Arthur-César Le Bras), Preprint, 2021.

• Averaging functors in Fargues' program for GL_n (with Arthur-César Le Bras), submitted, 2021.

• Prismatic Dieudonné theory (with Arthur-César Le Bras), Forum of Mathematics, Pi, 11, E2. doi:10.1017/fmp.2022.22, 2023.

• The p-completed cyclotomic trace in degree 2 (with Arthur-César Le Bras), Annals of K-theory 5-3 (2020), 539--580. DOI 10.2140/akt.2020.5.539

• Extending torsors on the punctured Spec(A_inf), Journal für die reine und angewandte Mathematik (Crelles Journal), Vol.2022, No. 783, pp. 227-268, 2022.

• Breuil-Kisin-Fargues modules with complex multiplication, Journal of the Institute of Mathematics of Jussieu, 2020, pp.1-50.

• A Tannakian classification of torsors on the projective line, Comptes Rendus Mathematique Volume 356, Issues 11-12, November-Dezember 2018, Pages 1203-1214.

• Reductive group schemes over the Fargues-Fontaine curve, Mathematische Annalen, 374(3), 1219-1260

• Descent of algebraic cycles , Homology, Homotopy and Applications, vol. 19(1), 2017, pp.134-154

---

Teaching

Wintersemester 2023/24

• Exercises for the course: V4A1 Algebraic Geometry I (by Dr. Ian Gleason)
• Exercises for the course: V3A2/F4A1 Algebra II (by Dr. David Schwein)

Sommersemester 2023

• V5AA Lecture: The de Rham comparison for rigid-analytic varieties
• Exercises for the course: V3A1/F4A1 Algebra I (by Dr. Andreas Mihatsch)

Wintersemester 2022/2023

• V5A3 Lecture: Advanced Topics in Algebraic Geometry Étale cohomology
• Seminar: Bezrukavnikov's equivalence (with Eugen Hellmann and Ulrich Görtz)

Sommersemester 2022

• V4A2 Lecture: Algebraic Geometry II
• S4A1 Seminar: Jacobians of curves (with Dr. Andreas Mihatsch)

Wintersemester 2021/2022

• V4A1 Lecture: Algebraic Geometry I

Sommersemester 2021 (at TU München)

• Lecture: Lubin-Tate Spaces
• Semiar: Algebraische Zahlentheorie

Wintersemester 2020/2021

• V3A2/F4A1 Algebra 2: Algebraic Number Theory
• An informal discussion session for Scholze's lecture on geometrization of the local Langlands correspondence.

Sommersemester 2020

• V5A6 Selected Topics in Representation theory: The Arithmetic of the Langlands program
  
• Exercises for the course: Algebraic Geometry II

Wintersemester 2019/20

• V5A2 Selected Topics in Algebra: The Fargues-Fontaine curve
  Wednesday, 14-16h, kleiner Hörsaal
• Vorlesung: Mathematik für Geowissenschaftler
  Donnerstag, 14 c.t.-16h, Zeichensaal, Wegelerstr. 10

Wintersemester 2017/18

• Exercises for the course Algebraic Number Theory
• S4A3 Graduate Seminar on Advanced Algebra: Hilbert Modular Surfaces
  Tuesday, 16-18h, SR 0.003, first meeting: 17.10.2017, preliminary meeting: Wednesday, 26.07.2017, 16-18h, N0.003

Sommersemester 2017

• Exercises for the course Algebraic Geometry II
• S4A1 Graduate Seminar on Algebraic Geometry: Jacobians of curves
  Tuesday, 16-18h, SR 0.006, first meeting: 18.04.2017, preliminary meeting: Tuesday, 7.2.2017, 16-18h, SR 0.006

Wintersemester 2016/17

• Exercises for the course Algebraic Geometry I
• Arithmetische Geometrie Oberseminar (ARGOS): Étale cohomology of diamonds

---

Notes

• Lectures notes for a course on étale cohomology

• Lectures notes for a course on Lubin-Tate spaces

• Informal notes on solid group cohomology (joint with Arthur-César Le Bras)

• Lectures notes for an introductory course on the Langlands program

• Lectures on the Fargues-Fontaine curve

• Notes on the Fargues-Fontaine curve

• Autoequivalences of derived categories of local K3 surfaces

---

Zuletzt geändert: September 2023, Johannes Anschütz