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Joe Rabinoff: Analytic and tropical theta functions

Time: Tue 2018-03-13 15.30 - 16.30

Location: Seminar Hall Kuskvillan, Institut Mittag-Leffler

Participating: Joe Rabinoff, Georgia Institute of Technology

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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.