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)

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.