PrerequisiteAlgebraic TopologyAbstractThis course will discuss configuration spaces from the views of homotopy theory. The course will consist of three parts. In the first part, we will discuss the motivations of studying configuration spaces in homotopy theory, including the configuration space models for iterated loop spaces, little cube operads, and Hopf invariants. In the second part of the...
AbstractGenerating series of enumerative invariants are often suprisingly connected to period integrals. In this lecture I will explain two ways of establishing relations between Gromov-Witten invariants of elliptic curves and configuration space integrals. One is representation-theoretic based on works of Bloch-Okounkov and Okoukov-Pandharipande, the other is geometric via mirror symmetry. I w...