# Kontsevich invariants in knot theory

**Date**: Tuesday 27 February 2018, 15:00 – 16:00**Location**: Hillary Place SR (G.18)**Type**: Algebra, Seminars, Pure Mathematics**Cost**: Free

#### Arnaud Mortier, Dublin City University. Part of the Algebra Seminar Series

We will investigate different aspects of the Kontsevich integral, a strong knot invariant with roots in mathematical physics, algebraically related to the study of knots via singularity theory. We will see how to define a $1$-cocycle using the same ideas. I will explain the grounds of knot theory, what a 1-cocycle is in this context, and what we can expect from such a tool.