Talk
Symmetries and Chern classes: from Convex Geometry to Algebraic and Applied Topology
- Nikola Sadovek (FU Berlin)
Abstract
In this talk, we will present three problems coming from distinct areas of mathematics: Tverberg-Vrećica conjecture (computational and combinatorial geometry), the existence of linearly independent complex line fields on manifolds (algebraic and differential topology), and the calculation of persistent equivariant cohomology of the circle (applied topology). We will discuss how Chern classes arise in the methods used to their resolution and pose several intriguing questions for future research. The talk is based on several works with different groups of coauthors (P. Soberón; B. Schutte; H. Adams, E. Lagoda, M. Moy & A. De Saha).