IPM Calendar 
Wednesday 30 November 2022   Today  
Events for day: Tuesday 01 November 2022    
           16:30 - 18:00     Algebraic Geometry Webinar
Heights and moments of abelian varieties


Abstract: We give a formula which, for a principally polarized abelian variety $(A, lambda)$ over a number field (or a function field), relates the stable Faltings height of $A$ with the N'eron--Tate height of a symmetric theta divisor on $A$. Our formula involves invariants arising from tropical geometry. 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.)

Meeting ID: 9086116889
Passcode: 362880 ...