[Classification of knotted tori]

In this talk I will present recent classification of knotted tori (arxiv:1502.04470, to appear in Proc. A of the Roy. Soc. of Edinburgh). The main idea is to use relations between different sets of embeddings, in the form of (bundles of) exact sequences. The main exact sequence is due to M. Skopenkov (Theorem 1.6 of arXiv:1106.1878), for which I will present a simpler proof.