Delta-matroids are matroid-like combinatorial structures introduced by A. Bouchet around 1980. The last decade saw a renewed interest in delta-matroids, thanks to a number of emerging applications.

I will discuss an appearance of delta-matroids in the context of knot theory. Vassiliev's theory of knot invariants of finite order provides a way to construct knot invariants from certain invariants of graphs. I will describe a similar relationship between finite-order link invariants and invariants of delta-matroids. This is joint work with V. Zhukov [arXiv:1602.00027]. Speaker(s): Sergei Lando (HSE Moscow & OSU)