Topological and arithmetic intersection numbers attached to real quadratic cycles

Workshop on Motives, Galois Representations and Cohomology Around the Langlands Program
Topic:Topological and arithmetic intersection numbers attached to real quadratic cycles
Speaker:Henri Darmon
Affiliation:McGill University
Date:Wednesday, November 8
Time/Room:10:00am - 11:00am/S-101
Video Link:https://video.ias.edu/MotivesGaloisRepsandCohomology/2017/1108-HenriDarmon

Abstract:  I will discuss a recent conjecture formulated in an ongoing project with Jan Vonk relating the intersection numbers of one-dimensional topological cycles on certain Shimura curves to the arithmetic intersections of associated real multiplication points on the Drinfeld p-adic upper half-plane.  Numerical experiments carried out with Vonk and James Rickards supporting the conjecture will be described.