Department of Mathematics

Algebra

  •  Tudor Padurariu, IAS
  •  Noncommutative resolutions and intersection cohomology for quotient singularities
  •  02/10/2021
  •  4:00 PM - 5:00 PM
  •  Online (virtual meeting) (Virtual Meeting Link)
  •  Laure Flapan (flapanla@msu.edu)

It is an important problem to define a K-theoretic version of intersection cohomology, with expected applications in representation theory. One step further is to look for a categorification of intersection cohomology. 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 $X$. Passcode: MSUALG

 

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