Algebraic Geometry SeminarOrganizers:Caucher Birkar,贾甲Speaker:Jakub Witaszek (Northwestern University)Time:Fri., 15:30-16:30, Dec. 5, 2025Venue:B725, Shuangqing Complex Building AOnline:Zoom Meeting ID: 262 865 5007Passcode: YMSCTitle: Higher singularities in characteristic zero and positive characteristicAbstract:I will discuss recent developments in the study of the Hodge theory of si...
Abstract:The K(pi,1)-conjecture for reflection arrangement complements, due to Arnold, Brieskorn, Pham, and Thom, predicts that certain complexified hyperplane complements associated to infinite reflection groups are Eilenberg MacLane spaces. We establish a close connection between a very simple property in metric graph theory about 4-cycles and the K(pi,1)-conjecture, via elements of non-posi...