Ofer gabber

Ofer Gabber ( Hebrew עופר גאבר; *  May 16, 1958 ) is an Israeli mathematician who studies algebraic geometry and algebra.

Ofer Gabber, Oberwolfach 2004

Gabber received his PhD from Harvard University in 1978 with Barry Mazur ( Some theorems on Azumaya Algebras ). From 1984 he was then a mathematician at the CNRS at IHES in Bures-sur-Yvette near Paris , where he is one of the main representatives of the tradition of algebraic geometry in the sense of Alexander Grothendieck , who had worked at IHES in the 1960s. In 1982 he introduced " perverse Sheaves " with Joseph Bernstein , Pierre Deligne and Alexander Beilinson and together with them proved (via his Purity Theorem ) the Decomposition Theorem , the heavy Lefschetz theorem and a semi-simplicity theorem (for positive characteristics and Existence of a Galois group effect), a deep finding about the topology of algebraic varieties. Among other things, he dealt with the etalen cohomology of schemes . In a monograph with Lorenzo Ramero, he gave a complete treatment of almost mathematics by Gerd Faltings , which among other things influenced the perfectoid concept by Peter Scholze .

In 1981 he received the Erdős Prize . In 2011 he received the Prix Thérèse Gautier of the Academie des Sciences.

Fonts

• with Lorenzo Ramero: Almost Ring Theory , Springer, Lecture Notes in Mathematics, Vol. 1800, 2003.
• with Brian Conrad , Gopal Prasad : Pseudo-Reductive Groups , Cambridge University Press, 2010

literature

• Luc Illusie , Yves Laszlo, Fabrice Orgogozo: Travaux de Gabber sur L'uniformisation Locale et la Cohomologie Étale des Schémas Quasi-Excellents , Astérisque 363-364, SMF 2014 (seminar at the École Polytechnique)

Web links

• Literature by and about Ofer Gabber in the catalog of the German National Library
• Prix ​​Gautier

Individual evidence

1. ^ De Cataldo, Migliorini The Decomposition theorem, perverse sheaves and the topology of algebraic maps , Bulletin AMS, Volume 46, 2009, pp. 535-633, Online