# Manchester Geometry Seminar 2015/2016

Thursday 3 March 2016. The Frank Adams Room (Room 1.212), the Alan Turing Building. 4.15pm

## Triangulated Non-Orientable Surfaces and Their Flip Structure Jonathan Wilson (Durham University)

j.m.wilson2@durham.ac.uk

Fomin and Zelevinsky’s cluster algebras are rather ubiquitous in mathematics. In particular, it turns out that the flip structure of triangulated orientable surfaces gives rise to a cluster algebra. Dupont and Palesi generalised the construction to non-orientable surfaces, giving birth to what they call quasi-cluster algebras.

In this talk, after introducing cluster and quasi-cluster algebras, I will link these algebras to Lam and Pylyavskyy’s Laurent phenomenon algebras, and will remark on the structure of finite type quasi-cluster algebras.