Arithmetic intersection theory on Shimura varieties
January 4 to January 8, 2021
American Institute of Mathematics,
San Jose, California
Keerthi Madapusi Pera,
and Wei Zhang
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.