Topological and arithmetic intersection numbers attached to real quadratic cycles

Topological and arithmetic intersection numbers attached to real quadratic cycles -Henri Darmon

Henri Darmon
McGill University
November 8, 2017

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.

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