Topology and Combinatorics - Uncovering Structures of Vietoris-Rips Complexes

Explore the intricate mathematical structures of Vietoris-Rips complexes through the lens of topology and combinatorics in this 50-minute conference talk by Jelena Grbić from the University of Southampton. Delve into advanced mathematical concepts that bridge topological data analysis and combinatorial methods to understand how these fundamental structures reveal hidden patterns in complex datasets. Examine the theoretical foundations and practical applications of Vietoris-Rips complexes, learning how topological and combinatorial approaches work together to uncover structural properties that are essential in modern algebraic topology and data science applications.