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**Video URL**
http://pirsa.org/21120010

## Abstract

I will report on my progress, joint with David Reutter, to construct and analyze the algebraic closure of nVec – in other words, the universal n-category of framed nD TQFTs. The invertibles are Pontryagin dual to the stable homotopy groups of spheres. The Galois group is almost, but not quite, the stable PL group. An invertible TQFT can be condensed from the vacuum if and only if it trivializes on (possibly-exceptional) spheres.

## Details

**Talk Number**21120010

**Speaker Profile**Theo Johnson-Freyd

**Collection**Mathematical Physics

- Mathematical physics

**Scientific Area**

- Scientific Series

**Talk Type**

**Subject**Mathematical Physics

**Source Repository**PIRSA