Forschungsseminar: Kompakte Untervarietäten von $\mathcal A_g$
The aim of the seminar is to discuss recent results by Grushevsky, Mondello, Salvati Manni and Tsimerman, where the maximal dimension of a compact subvariety of the moduli space of complex principally polarized abelian varieties of dimension $g$ is determined.
Date and place: Thursday, 2-4pm, N-U-3.05. First meeting: October 10.
Program: pdf by Carolina Tamborini
Talks
| 10.10.2024 | Introduction | Carolina Tamborini |
| 17.10.2024 | Abelian varieties and their moduli space | Nicolas Dupré |
| 24.10.2024 | Modular forms and Baily-Borel compactification | Paolo Sommaruga |
| 31.10.2024 | Compact subvarieties of $\mathcal A_g\otimes k$ | Sebastian Bartling |
| 7.11.2024 | Hodge structures and Mumford-Tate groups | Saverio Caleca |
| 14.11.2024 | Variations of Hodge structures and special subvarieties | Thiago Solovera e Nery |
| 21.11.2024 | Connected Shimura data | Giulio Marazza |
| 28.11.2024 | Ax-Schanuel and functional transcendence | Riccardo Tosi |
| 5.12.2024 | Some consequences of Ax-Schanuel for Shimura varieties | Anna Borri, Linda Carnevale, Tanja Helme, Veronica Licchelli |
| 12.12.2024 | Maximal dimension of Hodge-generic compact subvariety | Matteo Costantini |
| 19.12.2024 | Compact Shimura subvarieties from decoupled representations | Guillermo Gamarra Segovia |
| 9.1.2025 | Maximal dimension of a compact Shimura subvariety | Andreas Pieper |
| 16.1.2025 | Further topics 1 | Asbjørn Michelsen |
| 23.1.2025 | Further topics 2 | Daniel Greb |
| 30.1.2025 | Program discussion for next term | – |