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Title:
Topological and arithmetic intersection numbers attached to real quadratic cycles

Speaker:
Henri Darmon

Abstract:
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.

Link:
https://www.ias.edu/video/MotivesGaloisRepsandCohomology/2017/1108-HenriDarmon