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
Bonn mathematics performs excellently again in QS ranking
Stefan Schwede is invited speaker at the ECM 2024 in Sevilla
Jessica Fintzen wins Cole Prize
Regula Krapf receives university teaching award
Catharina Stroppel joined the North Rhine-Westphalia Academy for Sciences and Arts
Daniel Huybrechts receives the Compositio Prize for the periode 2017-2019
Catharina Stroppel receives Gottfried Wilhelm Leibniz Prize 2023
Grants for Mathematics students from Ukraine
Jessica Fintzen is awarded a Whitehead Prize of the London Mathematical Society
Peter Scholze elected as Foreign Member of the Royal Society