Modularity and Heights of CM cycles on Kuga-Sato varieties

Congling Qiu (Yale Univ.)

06-Apr-2021, 21:00-22:00 (3 years ago)

Abstract: We study CM cycles on Kuga-Sato varieties over X(N). Our first result is the modularity of the unramified Hecke module generated by CM cycles. This result enable us to decompose the space of CM cycles according to the unramified Hecke action. Our second result is the full modularity of all CM cycles in the components of representations with vanishing central (base change) L-values. Finally, we prove a higher weight analog of the general Gross-Zagier formula of Yuan, S. Zhang and W. Zhang.

number theory

Audience: researchers in the topic


University of Arizona Algebra and Number Theory Seminar

Organizers: Aparna Upadhyay*, Pan Yan*
*contact for this listing

Export talk to