Une vue d'ensemble de la théorie des représentations des carquois, principalement sous l'angle géométrique : théorie des représentations, algèbre de Kac-Moody, méthodes homologiques. Il s'agit de versions élargies des notes des cours de Bertin, Brion, Ginzburg, Gordon, Jantzen et Leclerc. ©Electre 2025
This first volume gathers part of the texts issued from the summer school « Geometric methods in representation theory » (Grenoble, 16 June -4 July, 2008). They are expanded versions of lecture notes for the courses of Bertin, Brion, Ginzburg, Gordon, Jantzen, and Leclerc ; the notes of Schiffmann's course appear in the second volume, as well as ten research or survey articles. These texts give an overview of the representation theory of quivers, chiefly from a geometric perspective.
The methods and results cover a wide range of topics in algebraic geometry (punctual Hilbert schemes, geometric invariant theory, symplectic geometry,...), representation theory (quivers, Kac-Moody algebras, quantum groups,...), homological methods (intersection cohomology, equivariant cohomology,...)
The lecture notes include introductions to fundamental aspects of the domain : quiver representations, punctual Hilbert schemes, as well as more specialized texts on Nakajima varieties, Haiman's work, moment graphs and representation theory, representations in Fock space.
In view of the diverseness of the topics, the reader is invited to consult the introductions of the texts for detailed overviews of their respective contents.
Paru le : 01/09/2013
Thématique : Mathématiques Appliquées
Auteur(s) : Auteur : Summer school Geometric methods in representation theory (2008 ; Grenoble)
Éditeur(s) :
Société mathématique de France
Collection(s) : Séminaires & congrès
Contributeur(s) : Editeur scientifique (ou intellectuel) : Michel Brion
Série(s) : Geometric methods in representation theory
ISBN : 978-2-85629-356-0
EAN13 : 9782856293560
Reliure : Broché
Pages : VIII-385
Hauteur: 24.0 cm / Largeur 18.0 cm
Épaisseur: 1.9 cm
Poids: 0 g
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