Title: Geometry and Topology in data analysis
Speaker: Facundo Memoli (OSU)
Abstract: In these two lectures I will overview some geometric and topological ideas that are useful for the study of finite metric spaces. These idea have applications to data analysis. I will give an introduction to both the Gromov-Hausdorff distance and Persistent Homology. The Gromov-Hausdorff distance is a notion of distance between compact metric spaces with good theoretical properties; Persistent Homology is a variation of the idea of simplicial Homology which applies to finite metric spaces. I will define both concepts, provide examples, discuss the interplay between the two notions, and point to some open questions.
Seminar Type: Invitation to Mathematics
Note: Pre-candidacy students can sign up for this lecture series by registering for one or two credit hours of Math 6193, Call/Class # 22517 (with Prof H. Moscovici).