Date: Thursday, January 10, 2013
Location: 3096 East Hall (3:00 PM to 4:00 PM)
Title: Locally acyclic cluster algebras
Abstract: Cluster algebras are combinatorially-defined algebras with distinguished elements called cluster variables, which satisfy a remarkable array of special properties. Cluster algebras have been discovered in the function algebras of many classically-studied spaces, such as spaces of matrices, Grassmannians, and decorated Teichmuller spaces. We will study general cluster algebras geometrically, by considering certain localizations which are naturally simpler cluster algebras. When a cluster algebra can be covered (geometrically) by sufficiently simple cluster algebras, it is `locally acyclic'. This includes `most' cluster algebras coming from marked surfaces, while still allowing many results to be generalized from the acyclic case.
Speaker: Greg Muller
Institution: Louisiana State University
Event Organizer:
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