Title: Persisten Homology and it Generalization
Abstract: Persistent homology has seen more widespread use as a tool for analyzing data over the last decade. Generalizations of the theory to multiple parameter filtrations would have even broader applications. In this talk we’ll quickly see how (single parameter) persistent homology works and look at McCleary and Patel’s generalization of the notion of a persistence diagram by exploring a counter-example to their first attempt.