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

In september 2024 I move to Orsay. Shortly after, this webpage and the above email will no longer work. My new webpage/email will be set up soon.

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Arbeitsgruppe Arithmetische Geometrie und Darstellungstheorie in Bonn

Veranstaltungen SS 24

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Papers/Preprints

• Descent for solid quasi-coherent sheaves on perfectoid spaces (with Lucas Mann), Preprint, 2024.

• The small p-adic Simpson correspondence in terms of moduli spaces (with Ben Heuer, Arthur-César Le Bras), Preprint, 2023.

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

• Hodge-Tate stacks and non-abelian p-adic Hodge theory of v-perfect complexes on smooth rigid spaces (with Ben Heuer, Arthur-César Le Bras), 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), accepted for publication in JEMS, 2021.

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

• 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

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Recent teaching

Sommersemester 2024

• Exercises for the course: V4A2 Algebraic Geometry II (by Dr. Ian Gleason)
• Arithmetische Geometrie Oberseminar (ARGOS)

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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

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Zuletzt geändert: September 2024, Johannes Anschütz