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SUMMARY:Dynamical degrees of endomorphisms of affine surfaces}
DTSTART:20230530T141500
DTEND:20230530T160000
DTSTAMP:20260501T002351Z
UID:b87e3621e8d99d7bb18ddb66e7e00a970da57f38a48e36dcf0f1271c
CATEGORIES:Conferences - Seminars
DESCRIPTION:Marc Abboud (University of Rennes 1)\nLet $f: \\mathbf C^2 \\r
 ightarrow \\mathbf C^2$ be a polynomial transformation. The dynamical degr
 ee of $f$ is defined as $\\lim_n (\\text{deg} f^n)^{1/n}$\, where $\\text{
 deg} f^n$ is the degree of the $n$-th iterate of $f$. In 2007\, Favre and 
 Jonsson showed that the dynamical degree of any polynomial endomorphism of
  $\\mathbf C^2$ is an algebraic integer of degree $\\leq 2$. For any affin
 e surface\, there is a definition of the dynamical degree that generalizes
  the one on the affine plane. We show that the result still holds in this 
 case: the dynamical degree of an endomorphism of any complex affine surfac
 e is an algebraic integer of degree $\\leq 2$. In this talk\, I will give 
 an overview of the recent results obtained on dynamical degrees on algebra
 ic varieties and explain the key tools of the proof.\n 
LOCATION:MA A3 30 https://plan.epfl.ch/?room==MA%20A3%2030
STATUS:CONFIRMED
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