Subevent of General/ST Session #5
‟Holey Vietoris--Rips complex, Batman!” by Chris Wells <coc0014@auburn.edu>, Unaffiliated
Abstract:
Given a metric space and a positive number $d$, the Vietoris–Rips (VR) complex of scale $d$ is the simplicial complex whose faces are all sets of diameter at most $d$. Recently, there’s been a push to understand the VR
- How many holes (non-trivial homologies) are there?
- How big is the largest facet?
- How small is the smallest facet?
- How many differently-sized facets are there?
Based on joint work with Joe Briggs and Ziqin Feng.