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

10th of September 2025  - 12.35/13.15  

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

Speaker:   Takahiro Matsushita (Shinshu University, Nagano, Japan)

Title:          Higher-dimensional generalization of Youngs' theorem 

Abstract:  Youngs proved that any quadrangulation of the real projective plane is not 3-chromatic. This result has been extended in various directions, including to other non-orientable closed surfaces, higher-dimensional analogues of quadrangulations and circular colorings. In this paper, we prove a generalization that yields some of these extensions of Youngs' theorem, by using a method developed in topological combinatorics. This is joint work with Kengo Enami.