Institute of Mathematics for Industry

Seminar



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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)

Abstract:
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).