## EVENT DETAILS AND ABSTRACT

**Graduate Student Seminar**
**Title:** What is .... factorization homology?

**Speaker:** John Francis

**Speaker Info:** Northwestern University

**Brief Description:**

**Special Note**: **First in New Faculty Member Talks. Note Special Time/Day.**

**Abstract:**

Factorization homology forms a common generalization of the following: Hochschild homology of an associative algebra; homology of n-manifolds twisted by representations of the orthogonal group O(n); compactly supported mappings spaces Map_c(M,X) from an n-manifold M into a n-connected space X; the observables of a perturbative topological quantum field theory. These theories satisfy an axiomatic characterization generalizing the Eilenberg-Steenrod axioms for usual homology. I'll describe these axioms, whisk through some sample calculations, and finish with a few open problems/conjectures related to 3-manifolds, Goodwilie-Weiss manifold calculus, and exotic spheres. I'll follow that up with a beer at the happy hour, where I'll be available for questioning.

**Date:** Friday, November 09, 2012

**Time:** 4:00pm

**Where:** Lunt 104

**Contact Person:** Boris Hanin

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

**Contact Phone:** 208-460-7919

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