Status  Confirmed 
Seminar Series  MATHIHES 
Subjects  math 
Date  Monday 3 October 2022 
Time  14:00 
Institute  IHES 
Seminar Room  Amphithéâtre Léon Motchane 
Speaker's Last Name  Cantat 
Speaker's First Name  Serge 
Speaker's Email Address  
Speaker's Institution  CNRS & Université de Rennes 1 
Title  Elementary Properties of Groups of Polynomial Automorphisms 
Abstract  Let G be a finitely generated group acting faithfully by linear transformations on a finitedimensional complex vector space. The theorems of Malcev, Selberg, or Tits provide important properties satisfied by G. To what extent do these properties continue to hold when G is acting by polynomial (instead of linear) transformations? In order to address this question, I shall describe a few results that illustrate how one can use padic or finite fields for problems which are initially phrased in terms of complex numbers. 
arXiv Preprint Number  
Comments  Séminaire Géométrie et groupes discrets 
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