From amoebas to arithmetics

Abstract: Motivated by the computation of the integral of a piecewise linear func- tion on the amoeba of the line (x1 + x2 + 1 = 0), we will show how tropical objects play a role in arithmetics.

This will bring us to an excursion into the Arakelov geometry of toric varieties; in this framework, we will use our tropical computation to predict the arithmetic complexity of the intersection of a projective planar line with its translate by a torsion point. This is a joint work with Martín Sombra.

algebraic geometrycombinatorics

Audience: researchers in the topic

Tropical Geometry in Frankfurt/Zoom TGiF/Z

Series comments: Description: An afternoon seminar series on tropical geometry, known as the TGiZ ("Tropical Geometry in Zoom") or the TGiF ("Tropical Geometry in Frankfurt") seminar.

Please send an email to one of the organizers at the latest one day before a session if you wish to receive the Zoom link and password.

Videos of some past talks are available on YouTube here, while some slides can be found here.