The seminar will meet Wednesday 2:00-3:30PM in Sterling 2329 with zoom link Online..
The goal of this two-semester long semiar is to read the master thesis of Peter Scholze on The Langlands-Kottwitz approach for the modular curve. In the first semester, we will focus on the geometry part. In the second semester, we will focus on the representation theory part. Here is the rough plan.
To receive updates, please subscribe to our Google Group by sending any message to langlands-kottwitz-fall25+subscribe@g-groups.wisc.edu. Since we are short on speakers, you are encouraged to give more than one talk. For speakers: feel free to contact Yu Luo to discuss the details of the topics you would like to present.
| Date | Speaker | Topic / Notes |
|---|---|---|
| Sept. 8 | Yu Luo | Introduction to the Langlands–Kottwitz method. |
| Sept. 15 | Ryan Tamura | Elliptic curves. |
| Sept. 22 | Alejo Salvatore | Finite group scheme and Dieudonné module. |
| Sept. 29 | Ruofan Jiang (Online) | Elliptic curves over finite field Note 1, Note 2. |
| Oct. 6 | Yihan Gu | Modular curves. |
| Oct. 13 | Ivan Aidun | An illustrated guide to étale cohomology. |
| Oct. 20 | Tonghai Yang | Counting points: good reduction. |
| Oct. 27 | Yihan Gu | Drinfeld level structure. |
| Nov. 10 | Yifan Wei | Nearby cycles of étale cohomology. |
| Nov. 17 | Yu Luo (Online) | The semisimple local zeta factor, and complements on modular curves. |
| Dec. 08 | Yingkun Li | Counting points: bad reduction. |
| Date | Speaker | Topic / Notes |
|---|---|---|
| Jan. 28 | Marcus Chen | Representation of \(p\)-adic group |
| Feb. 04 | Alejo Salvatore | Trace and character theory of local representation |
| Feb. 11 | Yingkun Li | Bernstein center and Bernstein decomposition |
| Feb. 18 | Ryan Tamura | Automorphic representation of \(\mathrm{GL}_2\) |
| Feb. 25 | Hoang Tien Nguyen | Langlands correspondence, functoriality, and base change |
| Mar. 04 | Hoang Tien Nguyen | Arthur--Selberg trace formula |
| Mar. 11 | Jiaqi Hou | Base change fundamental lemma |
| Mar. 18 | Yihan Gu | Semisimple trace of Frobenius as a twisted orbital integral |
| Mar. 25 | Yu Luo | Langlands--Kottwitz approach |
| Apr. 01 | Spring break | April fools’ day. |
| Apr. 08 | Jiacheng Xia | Langlands--Kottwitz approach: boundary |
| Apr. 15 | Lattice Huang | Comparison of the Lefschetz and Arthur--Selberg trace formula |
This seminar is organized by Yu LUO and Ryan Tamura. The seminar is partially supported by the IT department, which provided her camera.
