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Joint Harvard-CUHK-YMSC Differential Geometry Seminar: Birkhoff’s conjecture on integrable billiards and Kac’s problem “hearing the shape of a drum”

SEMINARS

March 15, 2022      9:30 pm
Speaker: Professor Steve Zelditch - Department of Mathematics, Northwestern University

Billiards on an elliptical billiard table are completely integrable: phase space is foliated by invariant submanifolds for the billiard flow. Birkhoff conjectured that ellipses are the only plane domains with...
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CMSA General Relativity: The Einstein-flow on manifolds of negative curvature

CMSA GENERAL RELATIVITY SEMINAR, SEMINARS

March 10, 2022      9:30 am
Speaker: David Fajman - University of Vienna

We consider the Cauchy problem for the Einstein equations for cosmological spacetimes, i.e. spacetimes with compact spatial hypersurfaces. Various classes of those dynamical spacetimes have been constructed and analyzed using...
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Counting fields generated by points on plane curves

SEMINARS, NUMBER THEORY

March 9, 2022      3:00 pm
Speaker: Allechar Serrano López - Harvard

For a smooth projective curve $C/\mathbb{Q}$, how many field extensions of $\mathbb{Q}$ -- of given degree and bounded discriminant --- arise from adjoining a point of $C(\overline{\mathbb{Q}})$? Can we further count the number...
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