Algebraic QFT and disk operads for algebraic curvesMPIM

by Elchanan Nafcha (MPIM)

Tuesday Nov 3, 2026, 11:00 AM → 12:30 PM Europe/Berlin

MPIM, Vivatsgasse, 7 - Seminar Room (Max Planck Institute for Mathematics)

Abstract Homotopy Theory Seminar

In the topological setting, a two dimensional quantum field theory of observables is given by a disk algebra. In the case where the category of modules has sufficient duality, it defines a 3-dimensional theory of states, given by a functor out of a cobordism category.

In the conformal or algebraic setting, a theory of observables is given instead by a holomorphic or algebraic factorization algebra. An algebraic quantum field theory, described first by Beilinson-Feigin-Mazur and reinterpreted by Ben Zvi-Sakellaridis-Venkatesh, is the structure expected on the [1,2] part of a corresponding 3d theory of states. In this talk I will describe a partial construction realizing such theory.