Adrien Douady

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Adrien Douady (born September 25, 1935 in La Tronche , † November 2, 2006 at Saint-Raphaël in Provence ) was a French mathematician who dealt with dynamic systems , among other things .

Adrien Douady, 2003

Douady studied from 1954 at the École normal supérieure and received his dissertation from Henri Cartan at the University of Paris in 1965 with the dissertation Leproblemème des modules pour les sous-espaces analytiques compacts d'un espace analytique donné. Annales Inst. Fourier, Vol. 16, 1966, pp. 1-95). In the beginning he dealt with analytical geometry (theory of several complex variables) and was a member of Bourbaki . At that time he was teaching at the Faculté es Sciences of the University of Nice Sophia-Antipolis . Later he changed his field of work and dealt with dynamic systems, in particular with the iteration of complex functions (holomorphic dynamics) that lead to fractal structures such as the Julia set . Here he worked closely with his student John H. Hubbard . Among other things, they proved that the Mandelbrot set is connected and made a famous conjecture about its topology (MLC conjecture). They asked whether this is locally connected everywhere (from which its hyperbolicity would also follow). Douady was a professor at the University of Paris-South (University of Paris XI) in Orsay .

In November 2006 he drowned, an excellent swimmer, in heavy waves in the Mediterranean Sea not far from Saint-Raphaël.

As a teacher, Douady was extremely serious, but always in the mood for surprising jokes. There are numerous anecdotes about his unconventional way of life and actions that have earned him a special reputation not only as a mathematician but also as a personality.

In 1997 he became a corresponding member of the French Académie des Sciences , in 1989 he received its Prix ​​Ampère . In 1986 he was an Invited Speaker at the ICM in Berkeley (Chirurgie sur les applications holomorphes) and in 1966 in Moscow (Quelqueproblemèmes des modules en géométrie analytique complexe).

His doctoral students include Herwig Hauser , John H. Hubbard , Xavier Buff and the Chinese mathematician Tan Lei .

With his wife Régine Douady he wrote a book on Galois theory ( Algèbre et théories galoisiennes. Paris, Cassini, 2nd edition 2005, English edition Springer 2020). His son Raphael Douady (* 1959) is also a mathematician and economist.

Web links

Individual evidence

  1. according to obituary in Le Monde on November 10, 2006
  2. ^ Douady, Hubbard Iteration of the polynomes quadratiques complexes , Comptes Rendus Acad. Sci., Vol. 294, 1982, Douady Systemes dynamiques holomorphes , Seminaire Bourbaki No. 599, November 1982, Douady, Hubbard Etudes dynamiques des polynomes complexes 1,2 Orsay Notes 1984/85, PDF file .