QM Research Seminar: Floer homology of singular Lagrangians and applications

In joint work with B. Chantraine and P. Ghiggini we define a Floer complex for Lagrangian with conical singularities of Weinstein type, and show invariance under Hamiltonian isotopies. We discuss how this theory can be used to compute and get convergence for bounding cochains of Lagrangian immersions, find geometric representations of compact objects in the wrapped Fukaya category, and establish (relative) Calabi-Yau structures as fundamental chains of singular Floer complexes (the latter is joint work with N. Legout).