Joe Rabinoff: Analytic and tropical theta functions

Tid: Ti 2018-03-13 kl 15.30 - 16.30

Föreläsare: Joe Rabinoff, Georgia Institute of Technology

Plats: Seminar Hall Kuskvillan, Institut Mittag-Leffler

Abstract: I'll give an account of the relationship between non-Archimedean analytic theta functions and tropical theta functions, and in particular the Riemann theta functions. I'll be very explicit in the case of the Jacobian of a Mumford curve. This gives a tropical tool for constructing sections of line bundles on abelian varieties with prescribed behavior on the skeleton.
This work is joint with Tyler Foster, Farbod Shokrieh, and Alejandro Soto.