Noncommutative resolutions and intersection cohomology for quotient singularities
Noncommutative resolutions and intersection cohomology for quotient singularities

Tudor Padurariu, Massachusetts Institute of Technology
Zoom link: https://princeton.zoom.us/j/91248028438
For good moduli spaces X of Artin stack Y (as defined by Alper), we construct some noncommutative resolutions D(X) inside the category D^b(Y). Further, we construct subcategories I(X) of D(X) whose periodic cyclic homology is given by the intersection cohomology of X. In particular, the Ktheory of I(X) is a natural definition of intersection Ktheory for the variety X.