Jonathan Wilson (Durham University)
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.