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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.


2,58 MB
Michel Brion

soft question - motivating geometric representation theory ...

International Journal of Geometric Methods in Modern Physics. ISSN (print): 0219-8878 | ISSN (online): 1793-6977. Tools . Recommend to library ; Alert me on new issues ; RSS ; Share. Share on. Facebook; Twitter; Linked In; Reddit; Email; Submit an article Subscribe. Journal. Online Ready Current Issue Accepted Papers Available Issues. About the Journal. Aims & Scope; Editorial Board; Sample ...

Geometric methods in representation theory (Book, 2012 ...

CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): The goal of this series of lectures is to survey and provide background for recent joint work with Wilfried Schmid. This work has appeared as a series of papers [SV1,SV2,SV3,SV4]. The type of geometric methods we discuss here were first introduced to representation theory by Beilinson and Bernstein in [BB1],


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