Bernhard Keller (mathematician)

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Bernhard Keller, Oberwolfach 2011

Bernhard Keller (* 1962 ) is a Swiss mathematician who studies algebra . He is a professor at the University of Paris VII ( Denis Diderot ).

Keller received his doctorate in 1990 under Pierre Gabriel at the University of Zurich ( On Derived Categories ).

He is particularly concerned with Clusteralgebren (and their Kategorifizierung, related to the representation of quivers ( Quiver ) and triangulated Calabi-Yau categories) and derived categories . Keller applied cluster algebras (via the categorization method) to the proof of the periodicity suspected by Alexander Borissowitsch Samolodchikov (Zamolodchikov) of certain discrete dynamic systems introduced by Samolodchikow as part of the thermodynamic Bethe approach (T-systems, Y-systems, formed from Dynkin diagrams). He conducted the proof for twisted systems with Japanese mathematicians using tropical geometry . In doing so, they also proved Rogers-type dilogarithmic identities.

In 2014 he received the Sophie Germain Prize . He was invited speaker at the International Congress of Mathematicians in Madrid 2006 ( differential graded categories ).

Fonts

  • with Idun riding : Cluster-tilted algebras are Gorenstein and stably Calabi-Yau , Advances in Mathematics, Volume 211, 2007, pp. 123-151
  • Cluster algebras, quiver representations and triangulated categories, Proceedings of the Workshop on Triangulated Categories , Leeds, 2006, Arxiv 2008
  • Derived categories and their uses , in M. Hazewinkel (Ed.): Handbook of algebra , Volume 1, Elsevier 1996.
  • Algèbres amassées et applications, d'après Fomin-Zelevinsky,… , Bourbaki Seminar No. 1014, 2009
  • The periodicity conjecture for pairs of Dynkin diagrams , Preprint, Arxiv 2010
  • Cluster algebras and derived categories, Derived Categories Conference, Tokyo 2011, Arxiv
  • with Rei Inoue, Osamu Iyama, Atsuo Kuniba, Tomoki Nakanishi: Periodicities of T and Y-systems, dilogarithm identities, and cluster algebras I: Type , Pub. RIMS, Volume 49, 2012, pp. 1-42, Arxiv , Part 2, pp. 43-85, Arxiv

Web links

Individual evidence

  1. ↑ Bernhard Keller in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
  2. ↑ Keller, Science Watch
personal data
SURNAME Keller, Bernhard
BRIEF DESCRIPTION Swiss mathematician
DATE OF BIRTH 1962