Workshop on Motives, Galois Representations and Cohomology around the Langlands Program

Topological and arithmetic intersection numbers attached to real quadratic cycles

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.

Date & Time

November 08, 2017 | 10:00am – 11:00am

Location

S-101

Speakers

Henri Darmon

Affiliation

McGill University

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