You are here

Topology Seminar: Supersymmetric field theories and elliptic cohomology

Daniel Berwick Evans, UIUC
Thursday, January 11, 2024 - 2:30pm to 5:00pm
PDL C-401

Since the mid 1980s, there have been hints of a deep connection between 2-dimensional field theories and elliptic cohomology. This lead to Stolz and Teichner's conjectured geometric model for the universal elliptic cohomology theory of topological modular forms (TMF) in which cocycles are 2-dimensional supersymmetric field theories. Basic properties of these field theories lead to expected integrality and modularity properties, but the abundant torsion in TMF has always been mysterious. In this talk, I will describe deformation invariants of 2-dimensional field theories that realize some of the torsion in TMF. 

Event Type: 
Event Subcalendar: