慶應義塾大学 理工学部 １４棟 ６３１A室
横浜市港北区日吉３−１４−１
This is an information for AIP math-sci team's seminar on 9th, July
at Yagami Campus of Keio university:
Speaker: Kei Hagihara
Time: 13:00 - 14:30
Place: Building 14, Room 631A
Title: Homotopy interleaving distance on the filtered spaces
Abstract: The speaker will provide an overview of the preprint
"Blumberg - Lesnick: Universality of the homotopy interleaving distance
(arXiv:1705.01690)".
In this paper they attempt to establish homotopy-theoretical foundations of topological data analysis by introducing the notion of "homotopy interleaving distance".
As an application, under this framework they naturally deduce the Rips inequality - one of the fundamental theorems in persistent homology theory.
