Work

Tropical geometry and its applications

Year: 2007

Type: book-chapter

Abstract: 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.

Source: Proceedings of the International Congress of Mathematicians Madrid, August 22–30, 2006

Parent work: Proceedings of the International Congress of Mathematicians Madrid, August 22–30, 2006

DOI: 10.4171/022-2/40

Author: Grigory Mikhalkin

Institution: University of Geneva

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2952603636

FWCI: 86.55

Cites: 29

Cited by: 331

Related to: 10