Lectures on Nakajima's Quiver Varieties
Victor Ginzburg
TL;DR
This paper provides an in-depth lecture-based exploration of Nakajima's quiver varieties, emphasizing their geometric and representation-theoretic significance, aimed at educating graduate students and researchers.
Contribution
It offers a comprehensive, pedagogical presentation of Nakajima's quiver varieties, including their construction, properties, and applications in representation theory.
Findings
Clarifies the geometric construction of quiver varieties
Connects quiver varieties to representation theory
Provides detailed examples and applications
Abstract
This is an expanded version of lectures given at a Summer School "Geometric methods in Representation Theory" (Grenoble, 2008).
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Taxonomy
TopicsAdvanced Combinatorial Mathematics · Advanced Algebra and Geometry · Algebraic structures and combinatorial models