Representation Theory and Algebraic Geometry: A Conference Celebrating the Birthdays of Sasha Beilinson and Victor Ginzburg (Trends in Mathematics) - Hardcover

Hardcover

ISBN 10: 3030820068 ISBN 13: 9783030820060

Publisher: Birkhäuser, 2022

Synopsis

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.

About this title

From the Back Cover

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.

Edition details

• Publisher: Birkhäuser
• Publication date: 2022
• Language: English
• ISBN 10: 3030820068
• ISBN 13: 9783030820060
• Binding: Hardcover
• Edition number: 1
• Number of pages: 467
• Editor: Baranovsky Vladimir, Guay Nicolas, Schedler Travis