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Serge Cantat information


Serge Marc Cantat (born 3 June 1973, in Paris)[1] is a French mathematician, specializing in geometry and dynamical systems.[2]

Cantat received his PhD under the supervision of Étienne Ghys in 1999 at the École normale supérieure de Lyon.[3] Cantat is a directeur de recherche of CNRS at the Institut de recherches mathématiques de Rennes (University of Rennes 1). He was previously directeur de recherche of CNRS at ENS Paris.

His research deals with complex dynamics and dynamics of automorphisms of algebraic surfaces. He examined the algebraic structure of Cremona groups (i.e. groups of birational automorphisms of -dimensional projective spaces over a field ) and showed with Stéphane Lamy that for an algebraically closed field and for dimension =2 the Cremona group is not a simple group. In particular, if is the field of complex numbers and =2, the Cremona group contains an infinite non-countable family of different normal subgroups.

In 2018, Cantat was an invited speaker at the International Congress of Mathematicians in Rio de Janeiro. In 2012 he received the Prix Paul Doistau–Émile Blutet for his work on dynamic systems (and especially holomorphic dynamic systems). In 2012 he was an invited speaker at the European Congress of Mathematics in Kraków. In 2012 he was awarded the Prix La Recherche.

  1. ^ Philippe Douroux, Je me suis aperçu de toute la profondeur qui se cachait derrière ce qu'on peut appeler l'infini, Libération, July 20, 2015, at which date he was 42 years old.
  2. ^ "Serge Marc Cantat". Institute for Advanced Study. 9 December 2019.
  3. ^ Serge Cantat at the Mathematics Genealogy Project

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(2): 517–623. arXiv:math/9712217. doi:10.2307/121043. JSTOR 121043. Cantat, Serge (2011). "Sur les groupes de transformations birationnelles des surfaces"...

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died from injuries inflicted by her boyfriend, French musician Bertrand Cantat, during a domestic dispute. In her films, Trintignant has focused on family...

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arXiv:0903.2489, doi:10.24033/asens.2123, ISSN 0012-9593, MR 2662668 Cantat, Serge; Lamy, Stéphane (2010). "Normal subgroups in the Cremona group". Acta...

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