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Thursday the 23rd, at 17:00 UTC
YouTube: https://www.youtube.com/watch?v=TApXw70BJ9E
Zoom: https://topos-institute.zoom.us/j/5344862882?pwd=Znh3UlUrek41T3RLQXJVRVNkM3Ewdz09
Abstract:
A starting point for the modern perspective on algebraic topology is the Eilenberg-Steenrod axioms characterizing homology theories. More generally, there has been a great deal of work starting from insights of Verdier, Quillen, and Dwyer-Kan that gives abstract characterizations of the structures of homotopy theory in terms of formal cylinder and suspension objects or mapping spaces. This talk will be about efforts to understand the invariants of topological data analysis from an abstract perspective. There will be many more questions than answers.
starting in ~20 minutes!