Applications are closed
for this workshop

Arithmetic intersection theory on Shimura varieties

January 4 to January 8, 2021

at the

American Institute of Mathematics, San Jose, California

organized by

Ben Howard, Chao Li, Keerthi Madapusi Pera, and Wei Zhang

This workshop, sponsored by AIM and the NSF, will be devoted to recent advances in arithmetic intersection theory on Shimura varieties.

The main topics for the workshop are:

  • Kudla's program: modularity of arithmetic generating series, Kudla-Rapoport conjectures, and connections with L-functions
  • Arithmetic Gan-Gross-Prasad program: arithmetic fundamental lemma, arithmetic transfer conjectures, and connection with L-functions
  • Applications of arithmetic intersections: exceptional isogenies between reductions of abelian varieties, arithmetic of K3 surfaces, Gross-Stark units and singular moduli for real quadratic fields

This event will be run as an AIM-style workshop. Participants will be invited to suggest open problems and questions before the workshop begins, and these will be posted on the workshop website. These include specific problems on which there is hope of making some progress during the workshop, as well as more ambitious problems which may influence the future activity of the field. Lectures at the workshop will be focused on familiarizing the participants with the background material leading up to specific problems, and the schedule will include discussion and parallel working sessions.

The deadline to apply for support to participate in this workshop has passed.

For more information email

Plain text announcement or brief announcement.