DATE2022-11-10 16:10-17:00

PLACE數學系館 1F3174教室

SPEAKERDr. Khan, Adeel Ahmad(中央研究院數學研究所

TITLEHomological Resolutions of Singularities

ABSTRACT We will give a brief introduction to derived geometry with a view towards the study of singular spaces and algebraic varieties. In the derived world, every space admits a "resolution" by nonsingular (smooth) spaces, which we can regard as a homological version of a resolution of singularities. Just like derived functors in homological algebra, one can then use these resolutions to define derived versions of certain constructions such as tangent bundles, blow-ups, fundamental classes, and more.