Local canonical heights and tropical theta functions

Series
Number Theory
Time
Wednesday, March 27, 2024 - 3:30pm for 1 hour (actually 50 minutes)
Location
Skiles 005
Speaker
Farbod Shokrieh – University of Washington, Seattle – farbod@uw.eduhttps://sites.math.washington.edu/~farbod/
Organizer
Alex Dunn

I will describe some connections between arithmetic geometry of abelian varieties, non-archimedean/tropical geometry, and combinatorics. For example, we give formulas for (non-archimedean) canonical local heights in terms of tropical invariants. Our formula extends a classical computation of local height functions due to Tate (involving Bernoulli polynomials).
Based on ongoing work with Robin de Jong.