## Amoebas, Coamoebas, and Tropical Geometry

- Date: 03/09/2007

Lecturer(s):

Mikael Passare (Stockholm University)

Location:

University of Calgary

Topic:

Given a triangle with side lengths 1, log *x*, log *y* and opposite interior angles π*-u-v*, *u*, *v*, the functional determinant ∂(*x,y*)/∂(*u,v*)

is identically equal to 1. This amusing fact is a special instance of

the relation between the amoeba of a complex curve and its

corresponding coamoeba. This colloquium talk is intended to give a

gentle introduction to the properties and applications of mathematical

amoebas. For instance, we shall explain why the spine of an amoeba is a

tropical hypersurface, and what are the complex curves having amoebas

of maximal area.

Other Information:

10th Anniversary Speaker Series 2007