Harvard/MIT Algebraic Geometry Seminar: Beyond twisted maps: crepant resolutions of log terminal singularities and a motivic McKay correspondence

SEMINARS, HARVARD-MIT ALGEBRAIC GEOMETRY

Speaker:

Matthew Satriano - University of Waterloo

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. No prior knowledge of stacks will be assumed. This is joint work with Jeremy Usatine.

https://sites.google.com/view/harvardmitag