Daniel Greb (Universität Duisburg-Essen) will speak in the geometry seminar on Tuesday 17 March 2020 at 11h am in the Salle des Profs. Daniel’s title is Projectively flat sheaves and characterisations of finite quotients of projective spaces and his abstract is below.
I will explain how to extend the classical characterisation of projective space among Kähler-Einstein Fano manifolds in terms of a Chern class (in)equality to the class of Fano varieties with Kawamata log terminal singularities. I will spend significant time on discussing the necessary tools, which range from analysis (harmonic metrics / Simpson correspondence) and classical differential geometry to algebraic geometry (local fundamental groups of klt singularities). This is joint work with Stefan Kebekus and Thomas Peternell, and partly with Behrouz Taji.