Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar

The Ruelle invariant and convexity in higher dimensions

I will explain how to construct the Ruelle invariant of a symplectic cocycle over an arbitrary measure preserving flow. I will provide examples and computations in the case of Hamiltonian flows and Reeb flows (in particular, for toric domains). As an application of this invariant, I will construct toric examples of dynamically convex domains that are not symplectomorphic to convex ones in any dimension.

This talk is based on joint works arXiv:2012.12869 and arXiv:2205.00935 with Oliver Edtmair.

Date & Time

June 24, 2022 | 9:15am – 10:45am

Location

Remote Access

Speakers

Speaker Affiliation

Member, School of Mathematics

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