In-Person and Online Talk

Register at: https://math.princeton.edu/minerva-2022

In the first talk, we will discuss the Hasse principle for rational points on intersection of two quadrics in P^N  over function fields  (of algebraic curves over a finite field). Among other things, the new tools here include an on-going work with Zhiwei Yun to establish a function field analog of (a strengthened)  Kolyvagin's theorem for elliptic curves and our previous work on  a Higher Gross-Zagier formula  relating intersection numbers of certain cycles on moduli space of Drinfeld Shtukas to L-functions of elliptic curves.