Cluster algebras and deformation theory
Nathan Ilten (Simon Fraser University)
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. After providing a gentle introduction to cluster algebras, I will report on one aspect of work-in-progress with Alfredo Nájera Chávez and Hipolito Treffinger. We show that for cluster algebras of finite 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.
algebraic geometrynumber theory
Audience: researchers in the topic
Series comments: Description: Research/departmental seminar
Seminar usually meets in-person. For online editions, the Zoom link is shared via mailing list.
Organizers: | Katrina Honigs*, Nils Bruin* |
*contact for this listing |