Bertrand Toën

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Gabriele Vezzosi (left) and Bertrand Toën, Oberwolfach 2002

Bertrand Toën (born September 17, 1973 in Millau ) is a French mathematician.

Toën received his doctorate in 1999 from the University of Toulouse III (Paul Sabatier) under Joseph Tapia (and Carlos Simpson ) ( K-théorie et cohomologie des champs algébriques: théorèmes de Riemann-Roch, D-modules et théorèmes GAGA ). As a post-doctoral student he was at the Max Planck Institute for Mathematics in Bonn. In 2001 he was appointed Chargé de Recherche of the CNRS in the Jean Dieudonné laboratory in Nice. In 2003 he completed his habilitation at the University of Nice and became Chargé de Recherche at the Emile Picard Laboratory in Toulouse and in 2009 Research Director of the CNRS in Montpellier (Institut de Mathématiques et de Modélizations) and from 2015 in the same position at the University of Toulouse III.

Toën deals with algebraic geometry, algebraic topology and category theory ( topos theory ) and founded the derivative geometry (derivative algebraic geometry) with Gabriele Vezzosi .

In 2014 he was invited speaker at the International Congress of Mathematicians in Seoul (Derived Algebraic Geometry and Deformation Quantization). In 2019 he received the Sophie Germain Prize .

Fonts (selection)

  • with Vezzosi: Homotopical Algebraic Geometry I , topos theory, Adv. in Math., Volume 193, 2005, pp. 257-372, Part II: Geometric stacks and applications, Memoirs AMS, Volume 193, 2008
  • with G. Vezzosi: Brave new algebraic geometry , in: Elliptic cohomology, London Math. Soc. LN series 342, Cambridge UP 2007
  • The homotopy theory of dg-categories and derived Morita theory , Inventiones Mathematicae, Volume 167, 2007, pp. 615-667
  • Derived Azumaya algebras and generators for twisted derived categories , Inventiones Mathematicae, Volume 189, 2012, pp. 581-652
  • with L. Katzarkov, L. Pantev: Schematic homotopy types and non abelian Hodge theory , Compos. Math. Vol. 144, 2008, pp. 582-632
  • Derived algebraic geometry , EMS Surveys in Mathematical Sciences, 1, 2014, pp. 153–245, Arxiv

Web links

Individual evidence

  1. ↑ Bertrand Toën in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
  2. ↑ Derived Geometry, Nlab
personal data
SURNAME Toën, Bertrand
BRIEF DESCRIPTION French mathematician
DATE OF BIRTH 17th September 1973
PLACE OF BIRTH Millau