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Simons Foundation Lectures · Today · 45 min

ICM 2026 Invited Section Lecture – Daniel Cristofaro Gardiner

Symplectic Weyl Laws We survey a number of formulas that have recently been established in low-dimensional symplectic geometry that are analogous to Weyl's Law for the Laplace spectrum. We discuss applications to problems in dynamics and problems about the algebraic structure of certain groups of homeomorphisms of surfaces. We state some open questions related to the subleading asymptotics. Uploaded 06-10-26 Learn more about your ad choices. Visit megaphone.fm/adchoices

0:00-45:01

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Symplectic Weyl Laws

We survey a number of formulas that have recently been established in low-dimensional symplectic geometry that are analogous to Weyl's Law for the Laplace spectrum. We discuss applications to problems in dynamics and problems about the algebraic structure of certain groups of homeomorphisms of surfaces. We state some open questions related to the subleading asymptotics.

Uploaded 06-10-26

Learn more about your ad choices. Visit megaphone.fm/adchoices

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