##### Department of Mathematics,

University of California San Diego

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### Number Theory Seminar

## Prof. Shou-Wu Zhang

#### Princeton University

## 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.

Host: Cristian D. Popescu

### November 9, 2023

### 2:00 PM

APM 6402

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