Analytic and tropical theta functions
Tropical Geometry, Amoebas and Polytopes
13 March 15:30 - 16:30
Joe Rabinoff - Georgia Institute of Technology
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.
University of Bern
Otto von Guericke Universität Magdeburg