Research report 2022 - Max Planck Institute for Mathematics in the Sciences
Polynomials, polyhedra and algorithms
Tropical Geometry and Computer Algebra
SummaryAlgebraic geometry describes shapes using polynomials. Discrete geometry instead uses matrices and linear equations to describe polyhedra. This different approach is reflected in the type of algorithms used for the computer-aided study of geometric objects. Tropical geometry is a recent mathematical theory that leads to innovative computational methods and exciting connections between algebraic and discrete geometry. Our research group is working to advance this further.