Marc Masdeu, McGill University
Generalized Heegner cycles on Shimura curves, and p-adic L-functions
We will describe certain families of algebraic cycles on a variety
fibered over a Shimura curve, a construction which generalizes work of
Besser and of Iovita-Spiess. This new construction incorporates ideas of
Bertolini-Darmon-Prasanna that are explained in the course.
In the second part of the talk, we will consider the derivative of the
anticyclotomic p-adic L-function defined by Bertolini-Darmon-Iovita-Spiess, and
relate its values on the critical range to the image of the mentioned cycles
under the p-adic Abel-Jacobi map.
I would like the talk to be informal, and questions and remarks during the talk are welcome