South African - Japanese Discrete Homotopy Meeting 2025 (Cape Town, South Africa, 10-11 September 2025)

10th of September 2025  - 11.45/12.25  

Venue: MAM111 - Department of Mathematics and Applied Mathematics - University of Cape Town

Speaker:   Daisuke Kishimoto (Kyushu University, Kyushu, Japan)

Title:          Tverberg’s theorem for cell complexes

Abstract: The topological Tverberg theorem states that for any affine map from (d+1)(r-1)-simplex to the d-dimensional Euclidean space, there are pairwise disjoint r faces of the simplex which have a point in common in the images whenever r is a prime power. We generaliza this result to maps from certain CW complexes, including all simplicial ((d+1)(r-1)-1)-spheres. This is joint work with Sho Hasui, Masahiro Takeda and Mitsunobu Tsutaya.