Algebra/Topology seminar

Speaker: Akira Tominaga

Title: Topological Jacobi Forms, Part II

Abstract: We will review the theory of Topological Jacobi Forms (TJF) and its connection to circle-equivariant topological modular forms (TMF). Specifically, its relationship with the circle-equivariant transfer map enables us to compute the homotopy groups of TJF entirely. Furthermore, we will discuss an application of TJF to the computation of other equivariant TMF, including the cyclic equivariant case and, if time permits, the (special) unitary case. The talk material is based on joint work with Bauer-Meier, Yamashita-Lin, and Berwick-Evans-Hui.