Computational methods in polyhedral and algebraic geometry
- Marta Panizzut (TU Berlin)
Many exciting research topics lie at the interface between polyhedral and algebraic geometry creating fruitful grounds for new computational methods. Tropical geometry has recently fueled these interactions. At the same time, computer-oriented approaches raise novel questions in the analysis of algebraic and geometric objects. In this talk, I exhibit examples of these aspects based on my research. I will describe polyhedral computations at the core of the study of curves, surfaces and triangulations through tropical lenses, and algebraic properties of constrained realization spaces of polytopes.