Speaker
Prof.
Daisuke Kishimoto
(Kyushu University)
Description
Tverberg’s theorem states that given any (d+1)(r-1)+1 points in the d-dimensional Euclidean space, there are pairwise r subsets whose convex hulls have a point in common. This can be restated in terms of an affine map from a (d+1)(r-1)-simplex to the d-dimensional Euclidean space, and the topological Tverberg’s theorem generalizes it to a continuous map. I will further generalize it to a continuous map out of a certain CW complex, e.g. a simplicial ((d+1)(r-1)-1)-sphere. This is joint work with Sho Hasui. Masahiro Takeda, and Mitsunobu Tsutaya.
Primary author
Prof.
Daisuke Kishimoto
(Kyushu University)
