Noncommutative resolutions and intersection cohomology for quotient singularities

Noncommutative resolutions and intersection cohomology for quotient singularities

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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 K-theory of I(X) is a natural definition of intersection K-theory for the variety X.