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Mathematics Colloquium


Date:  Tuesday, November 04, 2014

Title:  Nevanlinna's Theory and Holomorphic Dynamics

Abstract:  Nevanlinna's theory is one of the great achievements in 20th century mathematics. It has a numberof striking translations in other mathematical theories. The main question in Nevanlinna's theory can be seen as a distribution problem for preimages of points (or varieties) under holomorphic maps. Similar distribution problems arise in Holomorphic Dynamics. I will discuss these analogies using two main examples: holomorphic endomorphisms of k-dimensional complex projective space and equidistribution results (unique ergodicity) for singular holomorphic foliations by Riemann surfaces in complex projective spaces.

Speaker:  Nessim Sibony
Institution:  U. Paris-Sud, Orsay


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