Amoebas and tropical geometry

October 23 to October 26, 2003

at the

American Institute of Mathematics, San Jose, California

organized by

Grigory Mikhalkin, Bernd Sturmfels, and Oleg Viro

Original Announcement

This workshop This workshop will be devoted to a brand-new subject called tropical geometry. Tropical varieties are piecewise-linear objects in Euclidean space. The link between the classical complex geometry and the tropical geometry is provided by amoebas or logarithmic images of complex varieties. The tropical varieties appear as certain degenerations of amoebas. This workshop will bring together researchers in such diverse areas as real algebraic geometry, mirror symmetry, control theory, mathematical physics, analysis of several variables and dynamics. Amoebas, tropical geometry and the degeneration which relates them appeared in some form in all of these areas. We hope especially to set foundations of the new subject and explore its applications. This workshop is a lead-in to the MSRI program `Topological Aspects of Real Algebraic Geometry'. Particular attention will be devoted to preparing recent PhDs who will be participating in the MSRI program.

Material from the workshop

A list of participants.

The workshop schedule.

A report on the workshop activities.

Homework from Bernd Sturmfels.
A photograph of the white board from one of the discussion sessions.