Matt Satriano (University of Waterloo)

Title: Beyond twisted maps: crepant resolutions of log terminal singularities and a motivic McKay correspondence.

Abstract: Crepant resolutions have inspired connections between birational geometry, derived categories, representation theory, and motivic integration. In this talk, we prove that every variety with log-terminal singularities admits a crepant resolution by a smooth stack. We additionally prove a motivic McKay correspondence for stack-theoretic resolutions. Finally, we show how our work naturally leads to a generalization of twisted mapping spaces. This is joint work with Jeremy Usatine.

The organizers (Joel Kamnitzer, Jake Levinson, Steven Lu and Brent Pym)