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Table of Contents
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.
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.