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Iskovskikh Seminar
February 27, 2014 18:00, Moscow, Steklov Mathematical Institute, room 540
 


Rational surfaces with a large group of automorphisms (following S. Cantat and I. Dolgachev)

E. A. Yasinsky

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

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Abstract: We discuss classification of rational surfaces $X$ for which the image of the automorphisms group $Aut(X)$ in the group of linear transformations of the Picard group $Pic(X)$ is the largest possible. This answers a question raised by Arthur Coble in 1928, and can be rephrased in terms of periodic orbits of birational actions of infinite Coxeter groups.

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