Fullerenes, geometric combinatorics and hyperbolic geometry

• 主讲人：Victor Buchstaber (Steklov Mathematical Institute of RAS and Lomonosov Moscow State University)
• 举办方： Beijing-Moscow Mathematics Colloquium
• 时间： 2022-04-15 16:00 - 2022-04-15 17:00
• 地点： online

 

Recording: https://disk.pku.edu.cn:443/link/A9CD1CB87FAFA66E664594E1F9E4CA14

Valid Until: 2026-05-31 23:59

 

Abstract: At present, the fullerene classification problem is well-known and is important due to the applications in chemistry, physics, biology and nanotechnology. A mathematical fullerene is a three-dimensional convex simple polytope with all 2-faces being pentagons and hexagons. The talk is devoted to fundamental connections between the mathematical theory of fullerenes and geometric combinatorics, graph theory, the four-color problem, Coxeter groups, Pogorelov polyhedra, and Lobachevsky geometry. We present applications to the fullerene classification problem and to the classical problem of three-dimensional hyperbolic manifolds.

 

Bio: Prof. Victor Buchstaber is a Chief Scientific Researcher at Steklov Mathematical Institute of RAS and a Professor at Lomonosov Moscow State University. He is a Corresponding Member of the Russian Academy of Sciences. His research interests are geometry, topology and integrable systems.