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1-2-3 Seminar: 27 Lines on a Cubic Surface —— via Classifying Spaces!?

Michael Zeng, University of Washington
Friday, February 16, 2024 - 2:30pm to 3:30pm
PDL C-401

A famous result in classical enumerative geometry says that there are exactly 27 lines on a cubic surface. Meanwhile, a classifying space classifies principal G-bundles. This talk aims to explore a connection between these seemingly unrelated concepts. We will see how classifying spaces give rise to a theory of equivariant integrals, which in turn provides a novel way of addressing the question: “How many lines are there on a cubic surface?”

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