11.00 – 11.30 
Tea, Coffee, and Biscuits 
11.30 – 12.30

Simona Paoli (University of Leicester) Algebraic models of homotopy types Homotopy ntypes are CW complexes whose homotopy groups vanish in dimension higher than n. They can be thought of as the building blocks of topological spaces, thanks to a classical construction, the Postnikov decomposition of a space. The problem of finding good algebraic models of homotopy types is a fundamental question in homotopy theory. In this talk, I will first cover the basic homotopical background concerning ntypes. I will then illustrate one such algebraic model, called ntypical nfold groupoids. The latter is based on a special type of higher groupoidal structure, and has desirable properties. This is joint work with David Blanc. 
12.30 – 2.00 
LUNCH 
2.00 – 3.00

Andrew Lobb (University of Durham The HOMFLYPT knot invariant and some moduli spaces

3.00 – 4.00 
Tea, Coffee, and Biscuits 
4.00 – 5.00

Victor Buchstaber (Steklov Institute and Moscow State University) Towers of principal S^{1}bundles and applications

Everyone who wishes to participate is welcome, particularly postgraduate students. We shall operate the usual criteria for assistance with travel expenses. Beneficiaries will need to complete the standard forms (available from the main TTT page), and should arrive armed with NI numbers and details of UK bank accounts if they wish to complete the form on the day.