Speaker
Daisuke Kishimoto
(Kyushu University)
Description
Tverberg’s theorem states that any configuration of (d+1)(r-1)+1 points in d-dimensional Euclidean space admits a partition into r subsets whose convex hulls have a point in common. The topological Tverberg’s theorem is a topological generalization of Tverberg’s theorem, in which convex hulls are replaced by “flabby hulls”. In this lecture, I will introduce the basic tools in algebraic topology - such as homology, spectral sequences and the classifying spaces of groups - and show how they can be combined to prove the topological Tverberg theorem. I will also discuss several further generalizations of the topological Tverberg’s theorem.
Primary author
Daisuke Kishimoto
(Kyushu University)
