Tropical geometry and its applications
Grigory Mikhalkin · Proceedings of the International Congress of Mathematicians Madrid, August 22–30, 2006 · 2007
From a formal perspective tropical geometry can be viewed as a branch of geometry manipulating with certain piecewise-linear objects that take over the rôle of classical algebraic varieties. This talk outlines some basic notions of this area and surveys some of its applications for the problems in classical (real and complex) geometry.