Vandermonde Cells as Positive Geometries

Learn about the mathematical complexities of Vandermonde cells in this conference talk from the Amplituhedra, Cluster Algebras, and Positive Geometry Conference. Explore the challenges of establishing canonical forms for Vandermonde cells, which are semialgebraic subsets of R^n defined as simplex images under the Vandermonde map. Delve into specific obstacles including non-normal boundaries, non-transversal intersections, and boundary curve singularities. Examine the concept of Polypols and their canonical forms, while understanding why traditional positive geometry frameworks struggle with limiting Vandermonde cells due to their non-semi-algebraic nature. Discover which obstructions can be addressed and the implications for mathematical research in this specialized field presented by Sebastian Seemann from KU Leuven.