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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.
Part I: Groups, algebras, categories, and their representation theory.- On semisimplification of tensor categories.- Total aspherical parameters for Cherednik algebras.- Microlocal approach to Lusztig's symmetries.- Part II: 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(Gr GL(n)).- The semi-infinite intersection cohomology sheaf--II: the Ran space version.- A topological approach to Soergel theory.- Part III: 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.
Gwyn Bellamy, Daniel Rogalski, Travis Schedler, J. Toby Stafford, Michael Wemyss, Gwyn (University of Glasgow) Bellamy, San Diego) Rogalski, Daniel (University of California, Travis (Imperial College London) Schedler, J. Toby (University of Manchester) Stafford, Michael (University of Glasgow) Wemyss
Gwyn Bellamy, Daniel Rogalski, Travis Schedler, J. Toby Stafford, Michael Wemyss, Gwyn (University of Glasgow) Bellamy, San Diego) Rogalski, Daniel (University of California, Travis (Imperial College London) Schedler, J. Toby (University of Manchester) Stafford, Michael (University of Glasgow) Wemyss