Tropical Geometry and its applications
Grigory Mikhalkin
TL;DR
This paper introduces fundamental concepts of Tropical Geometry and reviews its applications to classical geometry problems, highlighting its potential for solving complex mathematical challenges.
Contribution
It provides an accessible overview of Tropical Geometry and surveys its diverse applications in classical geometry, connecting modern methods with traditional problems.
Findings
Tropical Geometry offers new tools for classical geometry problems.
Applications include solving enumerative geometry problems.
The notes serve as an introduction to the field's potential.
Abstract
These notes outline some basic notions of Tropical Geometry and survey some of its applications for problems in classical (real and complex) geometry. To appear in the Proceedings of the Madrid ICM.
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Taxonomy
TopicsPolynomial and algebraic computation · Advanced Topics in Algebra · Algebraic Geometry and Number Theory