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Globus Seminar
April 26, 2012 16:00, Moscow, IUM (Bolshoi Vlas'evskii per., 11)
 


Automorphisms of rational surfaces

S. Cantat

University of Rennes 1
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S. Cantat


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Abstract: A rational surface $X$ is a projective surface which is birationally equivalent to the projective plane (examples are obtained by blowing up a finite number of points of the projective plane). The group of all regular and invertible transformations $f\colon X \to X$ is the group of automorphisms of $X$. There are interesting questions regarding this group: For which surfaces is it infinite? How big can it be? What is the typical dynamical behaviour of automorphisms?… I shall describe some of the main examples, together with a few open questions.

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