Department of Mathematics - Algebra and Geometry Seminar - Tautological Relations and Their Applications

Relations among tautological classes on moduli spaces of stable curves have important applications in cohomological field theory. For example, relations among psi-classes and boundary classes give universal equations for generating functions of Gromov-Witten invariants of all compact symplectic manifolds. In this talk, I will talk about such relations and their applications to Gromov-Witten theory and integrable systems.