Andy Manion (USC)
Abstract
I will discuss joint work with Aaron Lauda and Tony Licata showing that certain algebras that have been used for gl(1|1) categorification, coming from Heegaard Floer theory and related to category O, are isomorphic to "deformed hypertoric algebras" \tilde{B}(V) associated to cyclic hyperplane arrangements V. This result suggests a more general conjecture interpreting \tilde{B}(V) in terms of wrapped Fukaya categories of complexified hyperplane complements. The proof makes use of a connection with the m=1 amplituhedron, a recent topic of interest in the physics of scattering amplitudes.