Valentin Poénaru

Valentin Poénaru (2007)

Valentin Alexandre Poénaru (* 1932 in Bucharest ) is a French-Romanian mathematician who mainly deals with low-dimensional (dimension 3.4) topology .

Live and act

Poénaru studied at the University of Bucharest . In 1962 he was invited speaker at the International Congress of Mathematicians in Stockholm ( Produits cartésiens de variétés différentielles par un disque ) and on this occasion moved to the West. He went to France and received his habilitation from Charles Ehresmann at the University of Paris in 1963 (Thèse d'État, Sur les variétés tridimensionnelles ayant le type d'homotopie de la sphère S ₃ ). Poénaru was then four years at Harvard University and Princeton University (1964/65 at the Institute for Advanced Study ) and from 1967 professor at the University of Paris-Süd in Orsay .

Poénaru has dealt with the Poincaré conjecture since 1957 and continues to pursue its own program to prove the conjecture, as an alternative to Perelman's proof. Pierre Vogel is one of his doctoral students .

Fonts (selection)

• Produits cartésiens de variétés différentielles par un disque. In: Proceedings of the International Congress of Mathematicians, Saltsjöbaden near Stockholm, 15-22 August 1962. Institut Mittag-Leffler, Djursholm 1963, pp. 481-489, ( digitized ).
• with André Haefliger : La classification des immersions combinatoires. In: Institut des Hautes Etudes Scientifiques. Publications Mathématiques . No. 23, 1964, pp. 75-91, ( online ).
• with William Boone and Wolfgang Haken : On recursively unsolvable problems in topology and their classification. In: Hermann Arnold Schmidt , Kurt Schütte , Hans-Jürgen Thiele (Eds.): Contributions to Mathematical Logic. Proceedings of the Logic Colloquium, Hannover 1966 (= Studies in Logic and the Foundations of Mathematics. 50). North-Holland Publishing, Amsterdam 1968, pp. 37-74, doi : 10.1016 / S0049-237X (08) 70518-4 .
• Singularités en présence de symétrie. En particulier en présence de la symétrie d'un groupe de Lie compact ${\displaystyle C^{\infty }}$ (= Lecture Notes in Mathematics . 510). Springer, Berlin et al. 1976, ISBN 3-540-07630-1 .
• with Albert Fathi and François Laudenbach : Travaux de Thurston sur les surfaces (= Astérisque. 66/67). Séminaire Orsay. With an English summary. Société Mathématique de France, Paris 1979, ( online ).
• Almost convex groups, Lipschitz combing, and for universal covering spaces of closed 3-manifolds. ${\displaystyle \pi _{1}^{\infty }}$In: Journal of Differential Geometry . Vol. 35, No. 1, 1992, pp. 103-130, doi : 10.4310 / jdg / 1214447807 .

Web links

• Poenaru: On the 3-Dimensional Poincaré Conjecture and the 4-Dimensional Smooth Schoenflies Problem. 2006
• Poenaru: Sur les variétés tridimensionnelles ayant le type d'homotopie de la sphère . ${\displaystyle S_{3}}$Séminaire Ehresmann. Topologie et géométrie différentielle. 1964, PDF file
• Barry Mazur, Primes, Knots and Po, 2012, pdf