Hodge theory of almost complex 4-manifolds – Part 2/2

  • Speaker: Joana Cirici
  • Time: 4:20-5:20
  • Abstract: In this mini-course we will review the Hodge theory of compact complex surfaces from a new viewpoint: we will prove general properties for almost complex 4-manifolds, and observe how these collapse to well-known and strong properties the case of complex surfaces. Along the way, we will define Hodge numbers for arbitrary almost complex manifolds and will also discuss obstructions to integrability using Hodge and homotopy theory.