Member Seminar

Speaker: Keyou Zeng

Title: From Poincaré/Koszul duality to (twisted) AdS/CFT correspondence

Abstract: Poincaré duality is a fundamental result in the (co)homology theory of manifolds. It has many applications in topology and vast generalizations to other types of “spaces,” such as singular/stratified spaces and schemes. In this talk, I will discuss a variant of Poincaré duality for factorization algebras, also known as Koszul duality. At the end of the talk, I will relate this notion to a mathematical formulation of what physicists call the AdS/CFT correspondence, as proposed by Costello and Li.