Session S09 - Number Theory in the Americas

Wednesday, July 14, 12:00 ~ 12:30 UTC-3

Intersections of modular geodesics and quaternary theta series

Henri Darmon

McGill U., Canada   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

I will describe a formula expressing the generating series of topological intersections of real quadratic geodesics on modular or Shimura curves as products of certain indefinite Hecke theta series, which occur in different guises in recent work by Rickards, Vonk, and Rotger-Harris-Venkatesh and the speaker.

View abstract PDF