Institute of Mathematics for Industry


List All(1084) Today and tomorrow's seminars(0)

Geometric approach to graph magnitude homology

Hold Date 2020-01-24 15:20~2020-01-24 15:50

Place Lecture Room S W1-C-514, West Zone 1, Ito campus, Kyushu University

Object person  

Speaker Kengo IZUMIHARA (Kyushu University)

Leinster introduced the magnitude of an enriched category, an invariant polynomial. The magnitude homology was invented as a categorification of the magnitude for a graph by Hepworth and Willerton. In general, it is difficult to compute the magnitude homology even for a very simple graph. In this talk, the speaker shows an approach to the magnitude homology of an arbitrary graph, which computes just the homology of a quotient of a simplicial complex. This result is based on a joint work with Yasuhiko Asao (The university of Tokyo).