EVENT DETAILS AND ABSTRACT

Title: The Integration Pairing and Extended Topological Field Theories
Speaker: Nerses Aramyan
Speaker Info: UIUC
Brief Description:
Special Note:
Abstract:

Given a hermitian line bundle with a hermitian connection on a manifold there is a straightforward way of producing 1-dimensional topological field theory over the manifold. One can generalize this procedure by replacing complex line bundles with n-gerbes bound by U(1), and replacing connections with appropriate connective structures. The resulting topological field theories are n-dimensional and fully extended. In this talk, we will describe a procedure of extracting these topological field theories using the higher categorical machinery of Jacob Lurie. If time permits we will discuss how the Wess-Zumino-Witten model, Chern-Simons theory and Dijkgraaf-Witten theory fit into this context.