V5A2 Selected Topics in Algebra: The Fargues-Fontaine curve - Wintersemester 2019/20
Contact:
Dr. Johannes Anschütz
Endenicher Allee 60 · Zimmer 4.027
Tel.: 0228-73-62216
E-mail: ja (ergänze @math.uni-bonn.de)
Time and Place
Wednesday, 14-16h, kleiner Hörsaal
First Lecture: Wednesday 16.10.2019.
Content of the course
We will introduce the fundamental curve of p-adic Hodge theory which was discovered by Fargues and Fontaine. It offers a geometric perspective on p-adic Hodge theory and is at the core of Fargues' program to geometrize the local Langlands correspondence. We will focus on the schematic version of the Fargues-Fontaine curve and prove some of its basic properties, e.g., that it is a Dedekind scheme. Using the classification of vector bundles on it we will derive the classical theorem that "weakly admissible" implies "admissible".
Prerequisites
Knowledge of valuations, p-adic fields and basic scheme theory.
Lecture notes
Typed lecture notes are now available.
Literature
- L. Fargues, J.-M. Fontaine: Courbes et fibrés vectoriels en théorie de Hodge p-adique. Asterisque 406, 2018
- L. Fargues and J.-M. Fontaine, Vector bundles on curves and p-adic Hodge theory. Automorphic forms and Galois representations. Vol. 2, 17–104, Cambridge, 2014.
- B. Bhatt, P. Scholze: Prisms and prismatic cohomology.
Exercise sessions
There will be no exercise session accompanying the lecture.
Exams
The oral exams scheduled for the 25.3.2020 are cancelled and will be postponed. The registered students will be contacted by me when more informations are available.
News
Corona: Measures at the Center for Mathematics
24.6.22: Colloquium on occasion of the retirement of Herrn Prof. Dr. Carl-Friedrich Bödigheimer
Prof. Peter Scholze elected as Foreign Member of the Royal Society
Prof. Dr. Jessica Fintzen new at the Mathematical Institute
Otto Toeplitz memorial fund established
Hausdorff Memorial Prize 2020/2021 awarded
Bachelorpreis 2020/21 der BMG verliehen
Prof. Christoph Thiele is holding the Clay Lecture 2022
Hausdorff Edition „Felix Hausdorff - Gesammelte Werke“
Prof. Catharina Stroppel invited as plenary speaker to the ICM 2022 in St. Petersburg
Bonner Mathematik belegt bei Shanghai Ranking den 1. Platz in Deutschland und weltweit den 13. Platz
Prof. Georg Oberdieck erhält Heinz Maier-Leibnitz-Preise 2020
Prof. Daniel Huybrechts erhält gemeinsam mit Debarre, Macri und Voisin ERC Synergy Grant