Around almost complex structures

Abstract: Smooth almost complex structures on manifolds (in particular on symplectic manifolds) have various integrability properties. We have been interested in defining relevant properties which a non integrable almost complex structure may have, in terms of its Nijenhuis tensor. In particular, we define the notions of minimally or maximally non integrable almost complex structures, and the notion of transverse complex structure defined by an almost complex structure. We review some Dolbeault-type cohomologies associated to an almost complex structure.

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