Moment maps in Symplectic geometry and applications to PL symplectic geometry

Abstract: Classical results of symplectic geometry, like Darboux theorem, are open problems in piecewise linear symplectic geometry. This is notoriously due to the fact that diffeomorphisms flow techniques fail in this context.

I will discuss certain moment map geometries of interest, with applications to piecewise linear symplectic geometry. In particular the space of symplectic diffeomorphisms of the torus T^4 can be interpreted as the vanishing locus of a certain hyperKähler moment maps. An interesting moment map flow can be deduced as a key tool to compare homotopy properties of the groups of diffeomorphisms and symplectomorphisms of the torus T^4.

algebraic geometryanalysis of PDEsalgebraic topologycomplex variablesdifferential geometrygeneral topologygeometric topologyK-theory and homologymetric geometrysymplectic geometry

Audience: researchers in the topic

---

CRM - Séminaire du CIRGET / Géométrie et Topologie

Series comments: Hybrid seminar of geometry and topology. Laboratory : CIRGET - www.cirget.uqam.ca The homepage of the seminar is www.cirget.uqam.ca/fr/seminaires.html

[[Please provide your first and last name so that the speaker can identify you. Kindly submit your questions or comments using the chat box, not via audio.]]

The livestream is on Zoom at uqam.zoom.us/j/88383789249 It is recommended to subscribe to the CIRGET newsletter. Please send an email to haedrich.alexandra@uqam.ca , providing your name and affiliation.

Some talks can be seen at www.youtube.com/channel/UCLkFm-uEvXSf9y-iQtWOLWA

---