IntroductionIn this course, we introduce the general notion of (G,X)-structures on manifolds. After providing the basic results on the topology of surfaces (including the topological classification theorem), we will give a general panorama of (G,X)-structures in dimension two. We will focus on two classes of geometric structures:- metrics with constant curvature (possibly with singularities);- ...
AbstractRiemann surfaces have played a fundamental role in mathematics since the 19th century. I will give a detailed introduction to Riemann surfaces focusing on the beautiful interplay between complex analysis and geometry.Lecturer Intro.・ PhD in 2008, Humboldt Universitat Berlin, Germany ・ Habilitation in 2014, Universitat Tubingen, Germany ・ Researcher at Universities of Heidelberg, Hamb...