# DAN

## Seminar

### Arithmetic complexity and the sum of squares problem (II)

Seminar Room 1, Newton Institute

#### Abstract

This lecture will be largely independent from the first. I will explain the completeness of the determinant and permanent in respective classes of polynomials, and its importance to the P vs. NP problem. I will discuss the non commutative versions of their complexity, and show how these relate to the famous sum-of-squares problem. Then I'll mention some recent small progress on that problem and some of its variants.#### Video

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