The next informal seminar will be given by our own Patrick Weber. His title is “From complex to hypercomplex cohomologies”. The talk will take place at 2pm in the Salle de Profs (9th floor of building NO). The abstract is below.
We first review some cohomological aspects of complex (non-Kähler) manifolds such as Bott-Chern cohomology, the d-dbar-Lemma and the Frölicher spectral sequence. We then show how to apply these concepts to hypercomplex manifolds, that is manifolds endowed with three integrable almost-complex structures satisfying the quaternionic relations.