Birational geometry is one of the current research trends in fields of Algebraic Geometry and Analytic Geometry. It came into prominence during mid-1980s, and has since seen a rise in research. The proposed lectures are on two topics of birational geometry.Speaker : Yohan BrunebarbeTitle : Hyperbolicity and Fundamental groups.Abstract : The course will focus on the interplay between the linear representations of the fundamental groups; the holomorphic (pluri) differentials and hyperbolicity of complex projective manifolds. It will also introduce the necessary tools and techniques of variational and mixed Hodge theories, to help prove that a local system of geometric origin on a 'special' manifold has a virtually abelian monodromy. The course will also explore on using non-abelian Hodge theory and harmonic maps to treat the general case.Speaker : Frederic CampanaTitle : Birational Geometry and Orbifold Pairs : Arithmetic and hyperbolic aspects.Abstract : Birational geometry aims at dedu...
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