Representation Theory and Algebraic Geometry
A Conference Celebrating the Birthdays of Sasha Beilinson and Victor Ginzburg
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Beschreibung
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
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
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”
Autor*in
Vladimir Baranovsky
Themen in »Representation Theory and Algebraic Geometry«
Algebraic geometry Representation theory Russian school algebraic geometry Russian school representation theory Lie theory Soergel theory D-modules Tensor categories Affine Grassmannian Fourier-Sato transform Cherednik algebras Symplectic resolutions Quiver varieties Alexander Beilinson Victor Ginzburg