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

Lagrangians, symplectomorphisms and zeroes of moment maps

I will present two constructions of Kähler manifolds, endowed with Hamiltonian torus actions of infinite dimension. In the first example, zeroes of the moment map are related to isotropic maps from a surfaces in $\mathbb{R}^{2n}$. In the second example, which is actually a hyperKähler moment map, the zeroes are related to symplectic maps of the torus $T^{4}$. The corresponding modified moment map flows have short time existence. Polyhedral analogues of these constructions can be used to investigate piecewise linear symplectic geometry.

Date & Time

April 08, 2022 | 9:15am – 10:45am

Location

Remote Access

Speakers

Yann Rollin

Speaker Affiliation

Nantes University

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