Real Structures in Discrete, Algebraic, Symplectic, and Tropical Geometries
Real Structures in Discrete, Algebraic, Symplectic, and Tropical Geometries
(REACTIONS)
Principal investigators
Abstract
The project “Real structures in discrete, algebraic, symplectic, and tropical geometries” (REACTIONS) will bring together young and up and coming mathematics researchers from the fields of real algebraic geometry, tropical geometry, symplectic geometry, and discrete mathematics. The goal of the project is to study real structures in tropical geometry with a view towards applications to these fields. The philosophy behind the REACTIONS project is to use tropical geometry as a two-way bridge between mathematical fields. From one side, tropical geometry and discrete structures can be used to study properties of objects arising from algebraic geometry and the more general symplectic geometry. Traversing the bridge in the other direction allows us to develop approaches to discrete mathematics which are inspired by tools in these more long-standing geometries.