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Algebraic and Geometric Models for Space Communications

Justin Curry, University at Albany SUNY
Thursday, November 30, 2023 - 3:30pm to 4:30pm
PDL C-401
Justin Curry

In this talk I will describe a new model for time-varying graphs (TVGs) based on persistent topology and cosheaves. In its simplest form, this model presents TVGs as matrices with entries in the semi-ring of subsets of time; applying the classic Kleene star construction yields novel summary statistics for space networks (such as STARLINK) called "lifetime curves." In its more complex form, this model leads to a natural featurization and discrimination of certain Earth-Moon-Mars communication scenarios using zig-zag persistent homology. Finally, and if time allows, I will describe recent work with David Spivak and NASA, which provides a complete description of delay tolerant networking (DTN) in terms of an enriched double category.

There also will be a pre-talk 2:30-3:15 in PDL C-401 aimed at graduate students.

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