Topology, Geometry and Data Seminar - Benjamin Schweinhart

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January 17, 2017
4:00PM - 5:00PM
Location
Cockins Hall 240

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Add to Calendar 2017-01-17 16:00:00 2017-01-17 17:00:00 Topology, Geometry and Data Seminar - Benjamin Schweinhart Title: Topological Similarity of Random Cell Complexes, and Curvature Flow on GraphsSpeaker: Benjamin Schweinhart (Ohio State University)Abstract: In this talk, I'll introduce the method of swatches, which describes the local topology of a cell complex in terms of probability distributions of local configurations. It allows a distance to be defined which measures the similarity of the local topology of cell complexes. Convergence in this distance is related to the notion of a Benjamini-Schramm graph limit. I will use this to state universality conjectures about the long-term behavior of graphs evolving under curvature flow, and to test these conjectures computationally. The application is of both mathematical and physical interest. If time permits, I will briefly introduce a related notion of geometric graph limit which controls geometric as well as topological properties.Seminar URL: https://research.math.osu.edu/tgda/tgda-seminar.html Cockins Hall 240 Department of Mathematics math@osu.edu America/New_York public
Description

Title: Topological Similarity of Random Cell Complexes, and Curvature Flow on Graphs

Speaker: Benjamin Schweinhart (Ohio State University)

Abstract: In this talk, I'll introduce the method of swatches, which describes the local topology of a cell complex in terms of probability distributions of local configurations. It allows a distance to be defined which measures the similarity of the local topology of cell complexes. Convergence in this distance is related to the notion of a Benjamini-Schramm graph limit. I will use this to state universality conjectures about the long-term behavior of graphs evolving under curvature flow, and to test these conjectures computationally. The application is of both mathematical and physical interest. If time permits, I will briefly introduce a related notion of geometric graph limit which controls geometric as well as topological properties.

Seminar URLhttps://research.math.osu.edu/tgda/tgda-seminar.html

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