Triple product L-series and Gross–Kudla–Schoen cycles

Abstract: In this talk, we consider a conjecture by Gross and Kudla that relates the derivatives of triple-product L-functions for three modular forms and the height pairing of the Gross—Schoen cycles on Shimura curves. Then, we sketch a proof of a generalization of this conjecture for Hilbert modular forms in the spherical case. This is a report of work in progress with Xinyi Yuan and Wei Zhang, with help from Yifeng Liu.

number theory

Audience: researchers in the topic

UCSD number theory seminar

Series comments: Most talks are preceded by a pre-talk for graduate students and postdocs. The pre-talks start 40 minutes prior to the posted time (usually at 1:20pm Pacific) and last about 30 minutes.