Heights and moments of abelian varieties

Series
Algebra Seminar
Time
Wednesday, October 2, 2019 - 10:00am for 1 hour (actually 50 minutes)
Location
Skiles 005
Speaker
Farbod Shokrieh – Unviersity of Washington – farbod@uw.eduhttps://sites.math.washington.edu/~farbod/
Organizer
Yoav Len

We give a formula relating various notions of heights of abelian varieties. Our formula completes earlier results due to Bost, Hindry, Autissier and Wagener, and it extends the Faltings-Silverman formula for elliptic curves. We also discuss the case of Jacobians in some detail, where graphs and electrical networks will play a key role.   Based on joint works with Robin de Jong (Leiden).