Record: YesLevel: UndergraduateLanguage: ChinesePrerequisitehomological algebraAbstractThis lecture explores Hochschild cohomology as a Gerstenhaber algebra in detail, the notions of smoothness and duality, algebraic deformation theory, infinity structures, and connections to the Hochschild-Kostant-Rosenberg decomposition. Useful homological algebra background is provided as well.Reference1. H...
Abstract:I shall discuss my recent work showing that the Bogomolov-Tschinkel universality conjecture holds if and only if the mapping class groups of a punctured surface is large (which is essentially the negation of the Ivanov conjecture about the mapping class groups). I will also discuss my recent work with O. Tosic regarding the closely related Putman-Wieland conjecture.Prizes and Distinct...