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Abstract: The hard Lefschetz theorem and the Hodge-Riemann bilinear relations for ample line bundles are important consequences of Hodge theory on projective varieties. I will give an overview of extensions of these properties to Chern and Schur classes of ample vector bundles.
Bio: Weizhe Zheng is a professor at the Academy of Mathematics and Systems Science, Chinese Academy of Sciences. He defended his doctoral thesis at l'Université Paris XI in 2007. His research mainly focuses on algebraic geometry and cohomology theories.
