Deformation Theory for Finite Cluster Complexes [1]

Link Webex [2]

Abstract: Cluster Algebras, introduced in 2001 by Fomin and Zelevinsky, are a kind of commutative ring equipped with special combinatorial structure. They appear in a range of contexts, from representation theory to mirror symmetry. I will report on one aspect of recent joint work with Alfredo Nájera Chávez and Hipolito Treffinger. We show that for cluster algebras of finite cluster type, the cluster algebra with universal coefficients is equal to a canonically identified subfamily of the semiuniversal family for the Stanley-Reisner ring of the cluster complex.