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Stream: event: Topos Colloquium

Topic: Andrew J. Blumberg: "Abstract homotopy theory for TDA"


view this post on Zulip Tim Hosgood (Sep 19 2021 at 17:26):

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

view this post on Zulip Tim Hosgood (Sep 20 2021 at 13:33):

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.

view this post on Zulip Tim Hosgood (Sep 23 2021 at 16:42):

starting in ~20 minutes!