Amoebas and tropical geometry
October 23 to October 26, 2003
American Institute of Mathematics,
Palo Alto, California
and Oleg Viro
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.