#
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

## Original Announcement

This workshop 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

## Material from the workshop

A list of participants.
The workshop schedule.

A report on the workshop activities.