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Representation Theory and Algebraic Geometry, 1st ed. 2022
◆Springer Yellow セール開催中！：2025年6月29日(日)ご注文分まで
※上記表示の販売価格は割引適用後の価格です 出版済み 3週間でお届けいたします。 A Conference Celebrating the Birthdays of Sasha Beilinson and Victor Ginzburg Series: Trends in Mathematics Author: Baranovsky, Vladimir / Guay, Nicolas / Schedler, Travis(Editor) Publisher: Springer ISBN: 9783030820060 Cover: HARDCOVER Date: 2022年06月 DESCRIPTION * Explores the influential work of Alexander Beilinson and Victor Ginzburg in algebraic geometry and representation theory * Contains cutting-edge research from leaders in the area, all of whom are deeply influenced by the Russian school * Presents work from the conference "Interactions Between Representation Theory and Algebraic Geometry" The chapters in this volume explore the influence of the Russian school on the development of algebraic geometry and representation theory, particularly the pioneering work of two of its illustrious members, Alexander Beilinson and Victor Ginzburg, in celebration of their 60th birthdays. Based on the work of speakers and invited participants at the conference "Interactions Between Representation Theory and Algebraic Geometry", held at the University of Chicago, August 21-25, 2017, this volume illustrates the impact of their research and how it has shaped the development of various branches of mathematics through the use of D-modules, the affine Grassmannian, symplectic algebraic geometry, and other topics. All authors have been deeply influenced by their ideas and present here cutting-edge developments on modern topics. Chapters are organized around three distinct themes: * Groups, algebras, categories, and representation theory * D-modules and perverse sheaves * Analogous varieties defined by quivers Representation Theory and Algebraic Geometry will be an ideal resource for researchers who work in the area, particularly those interested in exploring the impact of the Russian school. TABLE OF CONTENTS Groups, Algebras, Categories, and Their Representation Theory On Semisimplification of Tensor Categories Totally Aspherical Parameters for Cherednik Algebras Microlocal Approach to Lusztig's Symmetries D-Modules and Perverse Sheaves, Particularly on Flag Varieties and Their Generalizations Fourier-Sato Transform on Hyperplane Arrangements A Quasi-Coherent Description of the Category D -mod(GrGL(n)) The Semi-infinite Intersection Cohomology Sheaf-II: The Ran Space Version A Topological Approach to Soergel Theory Varieties Associated to Quivers and Relations to Representation Theory and Symplectic Geometry Loop Grassmannians of Quivers and Affine Quantum Groups Symplectic Resolutions for Multiplicative Quiver Varieties and Character Varieties for Punctured Surfaces
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