Abstract:Tian's approximation theorem for compact Kähler manifold endowed with a positive prequantum line bundle asserts that the sequence of Fubini-Study forms induced by the Kodaira embeddings converge, together with all their derivatives, to the curvature of the prequantum line bundle. In this talk we will present generalizations of this statement to the case of Moishezon manifolds and big line bundles. This is a joint work with Dan Coman and Xiaonan Ma.
Professor George Marinescu is a professor at the University of Cologne. He received his Ph.D. degree from Paris Diderot University (University of Paris 7), and worked as a postdoc at the University of Edinburgh, the Institut de Mathematiques de Jussieu, and the Humboldt University of Berlin. Before becoming a professor at the University of Cologne in 2006, he was an assistant researcher at the Humboldt University from 2000 to 2005. Professor Marinescu is a world-renowned expert in complex geometry, global analysis and spectral theory. He has published over 70 articles in journals such as Invent. Math., Ann. Sci. Ec. Norm. Super, JDG, Crelle, CMP, JFA, Adv. Math., JMPA, Math. Ann. He was awarded, jointly with Xiaonan Ma, the Ferran Sunyer i Balaguer Prize in 2006 for their book "'Holomorphic Morse inequalities and Bergman kernels", and he also received the Romanian Academy's 2012 Simion Stoilow Prize.
