## EVENT DETAILS AND ABSTRACT

**Geometry/Physics Seminar**
**Title:** Poisson AKSZ theory, properads, and quantization

**Speaker:** Theo Johnson-Freyd

**Speaker Info:** Northwestern University

**Brief Description:**

**Special Note**:

**Abstract:**

In the late 1990s, Alexandrov, Kontsevich, Schwartz, and Zaboronsky
introduced a very general construction of classical field theories of
"topological sigma model" or "Chern--Simons" type, which is well-adapted to
quantization in the Batalin--Vilkovisky formalism. I will describe a
generalization, which is to the usual AKSZ construction as "Poisson" is to
"symplectic". The perturbative quantization problem for such field
theories includes the problem of wheel-free universal deformation
quantization and the Etingof--Kazhdan quantization of Lie bialgebras; more
generally, it has to do with the formality problem for the E_n operads.
The technical tool needed to pose the quantum construction is the theory of
properads (the classical construction corresponds to their genus-zero part,
namely dioperads). This leads to a conjectured properadic description of
the space of formality quasiisomorphisms for E_n.

**Date:** Thursday, October 10, 2013

**Time:** 4:00pm

**Where:** Lunt 107

**Contact Person:** Michael Couch

**Contact email:** mcouch@math.northwestern.edu

**Contact Phone:**

Copyright © 1997-2024
Department of Mathematics, Northwestern University.