BIMSA > Math and Biology Seminar Tverberg’s theorem for cell complexes
Tverberg’s theorem for cell complexes
Organizers
Jing Yan Li , Xiang Liu , Fedor Pavutnitskiy , Jie Wu
Speaker
Daisuke Kishimoto
Time
Friday, September 23, 2022 10:30 AM - 11:30 AM
Venue
Online
Online
Zoom 293 812 9202 (BIMSA)
Abstract
Tverberg’s theorem states that any affine map from (d+1)(r-1)-simplex into the Euclidean d-space, there are pairwise disjoint faces of the simplex whose image in the Euclidean space have a point in common. A topological generalization which replace an affine map with a continuous map is known to hold as long as r is a prime power. We further generalize the topological version to a continuous map out of a certain CW complex including a simplicial sphere. A key is a homotopy decomposition of a discretized configuration space. This is joint work with S. Hasui, M. Takeda, and M. Tsutaya.