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

10th of September 2025  - 09.00/09.40  

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

Speaker:   Yasuhiko Asao (Fukuoka University, Fukuoka, Japan)

Title:          Magnitude and metric fibration 

Abstract: The magnitude, introduced by Tom Leinster, is an invariant of metric spaces that takes values in the formal power series ring. We introduce several invariants in topology and geometry that are magnitudes. We also introduce the notion of metric fibration, which is an analog of the topological fibration, and illustrate some classifications.