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Seminar of the Department of Algebra and of the Department of Algebraic Geometry (Shafarevich Seminar)
October 13, 2015 15:00, Moscow, Steklov Mathematical Institute, room 540 (Gubkina 8)
 


Dynamical degrees of rational transformations

S. Cantat

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Abstract: Consider a rational transformation $f$ of a projective variety $M$, and iterate $f$ to get a sequence of rational transformations $f^n$ The dynamical degree of $f$ is a positive real number that describes the exponential growth rate of the sequence $\deg(f^n)$, where the $\deg(f^n)$ is the degree of the formulae defining $f^n$. I shall describe properties of these numbers, and list a few open problems.

Language: English

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