Tropical Geometry, Amoebas and Polytopes
January 15 - April 30, 2018
Tropical geometry is a fast growing field at the interface between algebraic geometry and combinatorics with deep connections to many branches of pure mathematics, applied mathematics, and physics.
Algebraic varieties can be logarithmically degenerated to tropical varieties, which are polyhedral complexes satisfying certain combinatorial properties. At any intermediate stage before reaching its final limit, the degeneration process yields a structure known as an amoeba. Both tropical varieties and amoebas are dual to subdivisions of polytopes, and this leads to an infusion of combinatorial methods into algebraic, complex-analytic, and non-Archimedean geometry.
In our programme, we plan to focus on tropical algebra and applications; combinatorics, polytopes, and complexity; moduli spaces of curves and mirror symmetry; and tropical geometry and amoebas in higher dimension.
Scientific Advisory Board: Mark Gross (Cambridge), Ilia Itenberg (Paris), Michael Joswig (Berlin), Grigory Mikhalkin (Geneva), Bernd Sturmfels (Berkeley)
Workshop on Tropical algebra and applications, Jan 22-26
Workshop on Combinatorics, polytopes, and complexity, Feb 19-23
Workshop on Moduli spaces of curves and mirror symmetry, March 19-23
Workshop on Tropical varieties and amoebas in higher dimension, April 16-20 This conference is sponsored by the Simons Foundation.