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Apr 24, 2025, 4:00 - 4:45 PM

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Mathematics Colloquium: Vector Bundles and Combinatorics

Apr 25, 2025, 12:30 - 1:30 PM

Apr25

CAGS: Vector Bundles and Combinatorics

Apr 25, 2025, 12:30 - 1:30 PM

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Topology, Algebraic Geometry, and Dynamics Seminar (TADS): Rolling spheres and the exceptional simple Lie group of rank 2

Apr 25, 2025, 1:30 - 2:30 PM

 

Speaker: Jacob W. Erickson, University of Maryland

Title:Rolling spheres and the exceptional simple Lie group of rank 2

 

Abstract:A real form of the exceptional simple Lie group of rank 2 can be obtained from the local symmetries of a pair of spheres rolling along each other, but only when the ratio of the radii of the spheres is 1:3 or 3:1. While this result might seem miraculous, we will attempt to provide a fairly simple visual explanation for why such a ratio of radii is needed, using a bit of basic Lie theory and a lot of pictures.

 

Date/Time: April 25, 1:30pm-2:30pm

Location: Exploratory Hall, Room 4208

 

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