researchseminars.org

Roberto Gualdi (University of Regensburg)
2023-07-07 13:00 - 14:00 UTC | https://researchseminars.org/talk/TGiZ/54/
Title: From amoebas to arithmetics (https://researchseminars.org/talk/TGiZ/54/)
by Roberto Gualdi (University of Regensburg) as part of Tropical Geometry in Frankfurt/Zoom TGiF/Z

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.
