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SUMMARY:Motivic integration for Artin stacks - Jeremy Usatine\, Brown Univ
 ersity
DTSTART:20221109T141500Z
DTEND:20221109T151500Z
UID:TALK182828@talks.cam.ac.uk
CONTACT:Dhruv Ranganathan
DESCRIPTION:A standard method for studying a singular variety is to resolv
 e it by a smooth variety and to then relate invariants of the singular var
 iety to invariants of the smooth one. Motivic integration provides powerfu
 l tools for obtaining such a relationship. Motivated by the McKay correspo
 ndence\, I will describe a context in which interesting varieties admit na
 tural resolutions of singularities by Artin stacks. This suggests a need f
 or versatile tools in studying these “stacky” resolutions of singulari
 ties. I will discuss joint work with M. Satriano in which we use motivic i
 ntegration to provide such tools\, and I will also explain how our work le
 ads to a notion of crepantness for stacky resolutions of singularities.
LOCATION:CMS MR13
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