论文标题

符号分辨率,符号双重性和库仑分支

Symplectic resolutions, symplectic duality, and Coulomb branches

论文作者

Kamnitzer, Joel

论文摘要

符号分辨率是表示理论研究的令人兴奋的新领域。这项研究最令人着迷的方面之一是二元性:这些决议与匹配特性成对的观察结果。库仑分支结构使我们能够生产和研究其中许多双对。这些注释调查了该领域的最新工作,包括量化,分类和列举几何形状。我们特别关注Ade Quiver品种和仿生的Grassmannian片。

Symplectic resolutions are an exciting new frontier of research in representation theory. One of the most fascinating aspects of this study is symplectic duality: the observation that these resolutions come in pairs with matching properties. The Coulomb branch construction allows us to produce and study many of these dual pairs. These notes survey much recent work in this area including quantization, categorification, and enumerative geometry. We particularly focus on ADE quiver varieties and affine Grassmannian slices.

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