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Graduate Student Geometry-Topology Seminar

Friday, February 7, 2025 - 2:00pm

Riley Shahar

University of Pennsylvania

Location

University of Pennsylvania

DRL 4C8

Our standard intuition for abstract topology is geometric: the notion of open set axiomatizes the properties of open balls in metric spaces. Maybe surprisingly, there is an equally applicable, and in some sense formally dual, logical interpretation of topological spaces. In this interpretation, open sets behave like "propositions subject to finite proof." This talk---which assumes no knowledge of mathematical logic---will explore this perspective, in particular as it relates to point-free topology and sheaves.

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