Algebra Seminar by Isobel Webster

Charlotte Scott Centre for Algebra

On Wednesday the 25th of September 2019, Isobel Webster (University of Leeds) will be visiting the Charlotte Scott Centre for Algebra and giving a seminar. Her talk will be at 3pm in INB3305, and the details are as follows:

Title: A lattice isomorphism theorem for cluster groups of type A

Abstract: Each quiver appearing in a seed of a skew-symmetric cluster algebra determines a corresponding group, which we call a cluster group, which is defined via a presentation. Grant and Marsh showed that, for quivers appearing in skew-symmetric cluster algebras of finite type, the associated cluster groups are isomorphic to finite reflection groups and thus are finite Coxeter groups. There are many well-established results for Coxeter presentations and it is natural to ask whether the cluster group presentations possess comparable properties.

I will define a cluster group associated to a cluster quiver and explain how the theory of cluster algebras…

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