Lecture: Lubin-Tate Spaces - Sommersemester 2021
Dr. Johannes Anschütz
Endenicher Allee 60 · Zimmer 4.027
E-mail: ja (ergänze @math.uni-bonn.de)
In summer term 2021 I will be a teaching substitute for Prof. Dr. Eva Viehmann at the TU München. As the lecture will be held online students other universities are welcome, too.
Time and Place
Dates for the lectures (MESZ): Mondays, 14:15-15:45h, Wednesday, 14:15-15:45h.
First Lecture: 12.4.2021.
The lecture will take place via Zoom. To receive the meeting number and password write me an email.
Unfortunately, the exercise session today (2.7.2021) has to be cancelled on short notice!
Content of the course
The aim of this course is to discuss local class field theory following Lubin-Tate and to provide a gentle introduction to rigid analytic geometry, with the motivating example being by Lubin-Tate spaces. For the latter we will follow mostly the paper "Equivariant vector bundles on the Lubin-Tate moduli space" by Gross and Hopkins.
For the first part of the course, knowledge of basic algebra (rings, ideals, groups, modules, ..) and category theory (functors, natural transformations,...) is necessary. Knowledge of local fields or completions of rings will be helpful, but is not mandatory as we will recall the necessary facts in the course.
For the second part knowledge of algebraic geometry (projective spaces, coherent sheaves,...) will be helpful, but not mandatory.
TeXed lecture notes are prepared in parallel to the lectures.
- Gross, Hopkins: Equivariant vector bundles on the Lubin-Tate moduli spaces,
- Lubin, Tate: Formal complex multiplication in local fields,
- Lubin, Tate: Formal moduli of one-dimensional formal Lie groups,
- Stacks Project, Chapter Formal deformation theory,
- Wedhorn, Torsten: Adic spaces
Date for the exercise session: Fridays, 14:15-15:45h.
First exercise session: 16.4.2021.
There will be exercise sessions accompanying the lecture and participating in those is mandatory for taking the oral exam. The content of the exercise sessions will be a mixture of discussing the lecture and solving exercises in presence. We use the same Zoommeeting for exercise session as for the lecture.
Students registered at the TU München can take oral exams (via Zoom). In case you want to take the exam, please register online for the first episode of exams (19.7.-23.7.) or the second (27.9.-30.9.). In either case, send me an email to arrange the date of the exam.
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Hirzebruch lecture by Rahul Pandharipande on Monday, May 15, 2023
Matthias Kreck elected corresponding member of the Göttingen Academy of Sciences and Humanities in Lower Saxony
Lucas Mann recevices the Hausdorff memorial award 2021/22
Bachelor Prize 2021/22 of the BMG awarded
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Prof. Daniel Huybrechts receives the Compositio Prize for the periode 2017-2019
Prof. Catharina Stroppel receives Gottfried Wilhelm Leibniz Prize 2023
Rajula Srivastava receives Association for Women in Mathematics Dissertation Prize
Prof. Ana Caraiani wins a New Horizons in Mathematics Prizes 2023
Pius XI Medal awarded to Professor Peter Scholze
Prof. Valentin Blomer und Prof. Georg Oberdieck erhalten ERC grants
Grants for Mathematics students from Ukraine
Prof. Jessica Fintzen is awarded a Whitehead Prize of the London Mathematical Society
Prof. Peter Scholze elected as Foreign Member of the Royal Society
Bonner Mathematik belegt bei Shanghai Ranking den 1. Platz in Deutschland und weltweit den 13. Platz
Prof. Daniel Huybrechts erhält gemeinsam mit Debarre, Macri und Voisin ERC Synergy Grant