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.

In this timely book, distinguished scholars from the Peace Research Institute Frankfurt and institutes of the Russian Academy of Sciences in Moscow take up the challenge passionately articulated in the Foreword by Eduard Shevardnadze. Considering the unprecedented opportunities for unifying a region split into antagonistic blocs for more than forty

In this timely book, distinguished scholars from the Peace Research Institute Frankfurt and institutes of the Russian Academy of Sciences in Moscow take up the challenge passionately articulated in the Foreword by Eduard Shevardnadze. Considering the unprecedented opportunities for unifying a region split into antagonistic blocs for more than forty

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.

Covering the historical background, domestic developments, the role of military factors, and Russia's immediate security environment, Russia and Europe provides a comprehensive analysis of the increasingly important security relationship between Russia and Europe. Particular attention is paid to Russia's relations with its Slavic neighbours, the Baltic and nordic countries, and the Caucasus. It concludes with an examination of Russia's present and potential relations with all the existing European security structures.