Travis Schedler

J. Toby Stafford

Gwyn Bellamy

Daniel Rogalski

Michael Wemyss

This book provides a comprehensive introduction to the interactions between noncommutative algebra and classical algebraic geometry.

Noncommutative Algebraic Geometry

Nicolas Guay

Vladimir Baranovsky

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.

A Conference Celebrating the Birthdays of Sasha Beilinson and Victor Ginzburg

Representation Theory and Algebraic Geometry

Travis Schedler

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