Combinatorial Algebraic Topology & Applications IV

Topology and Combinatorics Uncovering Structures of Vietoris-Rips Complexes

Not scheduled

1h

Aula Dini (Palazzo del Castelletto)

Speaker

Jelena Grbic (University of Southampton)

Description

I will explore the homotopy theory of Vietris-Rips complexes of hypercubes, focusing on the deep interplay between their topology and combinatorial structures. The goal is to understand key structural properties, such as higher connectivity, co-connectivity and the realisation of homotopy types, by introducing a new combinatorial-topological framework.
This is joint work with Martin Bendersky.