Date:
Sun, 14/01/202414:00-15:30
Location:
Ross 63
Hello everyone,
Our seminar will continue on Sunday, Jan, 14, 2-3:30pm in Ross 63 with Shaul Zemel.
Shimura varieties
Complex orthogonal Shimura varieties form a natural generalization of the coarse moduli spaces of elliptic curves or of Abelian surfaces with real multiplication. They carry infinite families of special cycles on them, in every dimension. These cycles satisfy a lot of relations arising from modularity results, a phenomenon that is conjectured to hold in more general settings. In these talks I will present these objects and the meaning of these relations, indicate a few tools that are used in establishing them, and if time permits, expound on the settings to which one searches to extend these modularity theorems.
Our seminar will continue on Sunday, Jan, 14, 2-3:30pm in Ross 63 with Shaul Zemel.
Shimura varieties
Complex orthogonal Shimura varieties form a natural generalization of the coarse moduli spaces of elliptic curves or of Abelian surfaces with real multiplication. They carry infinite families of special cycles on them, in every dimension. These cycles satisfy a lot of relations arising from modularity results, a phenomenon that is conjectured to hold in more general settings. In these talks I will present these objects and the meaning of these relations, indicate a few tools that are used in establishing them, and if time permits, expound on the settings to which one searches to extend these modularity theorems.