Geometry & Topology Seminar

Friday, November 19, 2021 2:30 pm - 2:30 pm EST

John Huerta, University of Lisbon

"Bundle gerbes on Lie supergroups"

Bundle gerbes are analogues of line bundles important for conformal field theory, anomalies, and obstruction theory. Among bundle gerbes, a central role is played by the basic bundle gerbe, an essentially unique gerbe on any compact, simple and simply-connected Lie group. In this talk, we describe our work constructing the basic bundle gerbe for a large family of simple Lie supergroups, and show how the basic gerbe on a Lie supergroup decomposes into a tensor product of gerbes on the underlying Lie group and an auxiliary 2-form. 

This seminar will be held jointly online and in person: