Floer Homology with DG Coefficients - Applications to Cotangent Bundles

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.