Class Central is learner-supported. When you buy through links on our site, we may earn an affiliate commission.

YouTube

Floer Homology with DG Coefficients - Applications to Cotangent Bundles

Institute for Advanced Study via YouTube

Overview

Explore Floer homology with differential graded (DG) coefficients and its applications to cotangent bundles in this advanced mathematics lecture. Delve into the definition of Hamiltonian Floer homology with coefficients in a DG local system for symplectically aspherical cases. Examine how this homology fits into a filtered homological toolbox and discover various dynamical applications to cotangent bundles. Learn about the collaborative work of Alexandru Oancea, Jean-François Barraud, Mihai Damian, and Vincent Humilière, while also gaining insights into the original construction by Barraud-Cornea and subsequent developments by other mathematicians. Engage with complex concepts in symplectic geometry and topology as presented by Alexandru Oancea from the University of Strasbourg during this Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar.

Syllabus

Floer Homology with DG Coefficients. Applications to Cotangent Bundles - Alexandru Oancea

Taught by

Institute for Advanced Study

Reviews

Start your review of Floer Homology with DG Coefficients - Applications to Cotangent Bundles

Never Stop Learning.

Get personalized course recommendations, track subjects and courses with reminders, and more.

Someone learning on their laptop while sitting on the floor.