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Applied Algebraic Topology Seminar

Workshop on Topology: Identifying Order in Complex Systems

Simon Cho, University of Michigan

Location:  Join Zoom Meeting
Date & time: Friday, 09 October 2020 at 2:00PM - 3:00PM


Motivated by thematic similarities between persistent homology and magnitude homology, we describe a simplicial construction associated to a metric space. This construction is determined by (apart from the metric space itself) a choice of two parameters, which we may take to be real-valued. Applying homology pointwise, we get persistent homology on one end of the possible choices of parameters, and magnitude homology on the opposite end. Time permitting, we describe some modest applications of this perspective.

Meeting ID: 994 6263 0530
Passcode: 272612

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