Tuesday, May 23, 2017 - 15:00
Seminario di Geometria Aula 1B1 (pal. RM002) Daniel Labardini-Fragoso (Universidad Nacional Autónoma de México) Grassmannians and triangulations: an invitation to cluster algebras Abstract: The Grassmannian Gr(k,n) is the set of all k-dimensional vector subspaces of a complex vector space of dimension n. Elementary considerations give rise to the Plücker embedding of Gr(k,n) in a projective space. The Plücker coordinates satisfy certain relations whose form for k=2 suggests a parameterization of a generating set through diagonals and triangulations of a polygon. I will use this example to try and motivate Fomin-Zelevinsky's definition of cluster algebras.