# Theta functions in geometry and arithmetic

## January 25, 2024 at 17:00 – 18:00 CET

17:00 Uhr: Jan Brunier (Darmstadt)

Abstract: We explain how theta functions can be used to study positive definite quadratic forms and their representation numbers. For indefinite quadratic forms, Kudla and Millson showed that there are analogous theta functions relating the geometry of special cycles on locally symmetric spaces to modular forms. Conjectures of Kudla predict similar results for arithmetic special cycles in Arakelov Chow groups on integral models of orthogonal Shimura varieties. We will also report on some recent results in this context.

16:30 Coffee and Cake

18:30 Uhr: Dinner

Zoom Meeting-ID: 967 5163 9626

Passcode: last name of famous mathematician born in Königsberg (small letters)