Combinatorics Seminar 2017

Speaker: Zhi Lü (吕志), Fudan University

Date: Thu, Nov 30, 2017

Time: 14:00 - 15:00

Venue: Middle Meeting Room

Title: Algebras from oriented triangulated manifolds


By extracting the idea and techniques of classical cluster algebras, we construct a class of algebras from closed oriented triangulated even-dimensional manifolds by performing middle-dimensional (bistellar) moves. This class of algebras exhibit the algebraic behaviour of middle-dimensional (bistellar) moves, so the construction of this class of algebras has a quite difference from one of a classical cluster algebra. Moreover, we will use the algebras to construct PL invariants for PL manifolds. This is joint work with Alastair Darby and Fang Li.