Poincaré-Reeb Graphs of Real Algebraic Domains
Explore a conference talk on Poincaré-Reeb graphs of real algebraic domains, delivered by Miruna-Stefana Sorea at the Centre International de Rencontres Mathématiques in Marseille, France. Delve into the intricacies of algebraic domains, the Poincaré-Reeb graph, and the asymptotic Poincaré-Reeb tree. Examine concepts such as polar curves, generic projections, and discriminant loci. Investigate Arnold's snake, separable permutations, and the Flip-Flop Algorithm. Learn about vertical planes, topological critical sets, and domains of finite type. Understand the invariance of the Euler characteristic and explore non-compact Poincaré-Reeb graphs. Access this 59-minute recording, complete with chapter markers, keywords, abstracts, and bibliographies, through CIRM's Audiovisual Mathematics Library for a comprehensive exploration of real algebraic geometry.