Seminario

Data evento: 
Martedì, 23 Maggio, 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.