Algebraic Geometry Seminar: Farbod Shokrieh

  • Date: 01/10/2019
  • Time: 15:30
Lecturer(s):
Farbod Shokrieh, University of Copenhagen
Location: 

University of British Columbia

Topic: 

Heights and tropical geometry

Description: 

Given a principally polarized abelian variety $A$ over a number field (or a function field), one can naturally extract two real numbers that capture the ``complexity'' of $A$: one is the Faltings height and the other is the N\'eron-Tate height (of a symmetric effective divisor defining the polarization). I will discuss a precise relationship between these two numbers, relating them to some subtle invariants arising from tropical geometry (more precisely, from Berkovich analytic spaces).
(Joint work with Robin de Jong.)

Other Information: 

Location: ESB 4133