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 *Harmonic metrics on Higgs sheaves and uniformisation of varieties of general type* and his abstract is below.

*I will explain how to extend the classical characterisation of ball quotients in terms of the Miyaoka–Yau (in)equality to the class of klt varieties of general type, which arises naturally in the Minimal Model Program. I will spend significant time on discussing the necessary tools, which range from analysis (harmonic metrics) over algebraic geometry (identification of $\mathbb{P}^n$-bundles) to topology (local fundamental groups of klt singularities). This is joint work with Stefan Kebekus, Thomas Peternell, and Behrouz Taji.*