Forschungsseminar: Arithmetische Siegel-Weil-Formeln

In the research seminar this term we will study “arithmetic Siegel-Weil formulas”, more specifically intersections of special cycles on Shimura varieties and connections with modular form. Towards the end of the seminar we will have a look at the recent work of Chao Li and Wei Zhang on the Kudla-Rapoport conjecture.

Date and place: Thursday, 2-4pm, N-U-3.05. First meeting: April 11.

Program: pdf

Talks

11.4.2024	Ulrich Görtz	1 Introduction
18.4.2024	Riccardo Tosi	2 Elliptic curves with complex multiplication	Talk notes
25.4.2024	Hind Souly	3 Modular curves
2.5.2024	Xiaoyu Zhang	4 The Hurwitz class number formula
16.5.2024	Sebastian Bartling	5 Shimura varieties
23.5.2024	Guillermo Gamarra Segovia	6 Hilbert modular surfaces
6.6.2024	Jie Lin	7 Resolution of singularities of Hilbert modular surfaces
13.6.2024	Thiago Solovera e Nery	8 Hirzebruch-Zagier divisors
20.6.2024	Yingying Wang	9 Intersections of modular correspondences after Gross and Keating 1
27.6.2024	–	Symposium Düsseldorf/Essen/Wuppertal
4.7.2024	Paolo Sommaruga	10 Intersections of modular correspondences after Gross and Keating 2
11.7.2024	Giulio Marazza	11 Proof of the Kudla-Rapoport conjecture after Li and Zhang
18.7.2024	Luca Marannino	12 Applications and connections