| JOINT ARITHMETIC HOMOGENEOUS SPACES AND NUMBER THEORY | |
| Topic: | Some Modular Generating Functions for Arithmetic Cycles |
| Speaker: | Stephen Kudla |
| Affiliation: | IAS |
| Date: | Friday, March 31 |
| Time/Room: | 11:00am - 12:00pm/S-101 |
In this talk I will give an overview of joint work with M. Rapoport and T. Yang on the construction of generating series whose coefficients are the classes of special divisors and 0-cycles on the arithmetic surfaces attached to Shimura curves.
These series are the q-expansions of modular forms of genus 1 and 2 respectively. I will then describe an arithmetic inner product formula and an arithmetic Siegel-Weil formula involving these forms. If time permits at the end, I will discuss some open problems.