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Seminar

The geometry of cluster algebras and locally acyclic cluster algebras October 23, 2012 (02:00PM PDT - 03:00PM PDT)
Location: MSRI: Simons Auditorium
Speaker(s) Greg Muller
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I will begin with `cluster localizations', localizations of cluster algebras which are still cluster algebras. Geometrically, a cluster localization of A is dual to an open subscheme of Spec(A) with a cluster structure. Many properties of a cluster algebra can be studied locally with respect to these open patches. This local approach is very effective for `locally acyclic cluster algebras'. In this talk, I will define this class, review some of their important properties, give several examples, and present an algorithm for demonstrating that a given cluster algebra is locally acyclic.

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