Cluster algebras, mutations and triangulated surfaces


The event is taking part on the Tuesday, Sep 17th 2019 at 15.30
Theme/s: Pure Maths
Location of Event: 306 Alan Turing
This event is a: Public Seminar

Cluster algebras were introduced by Fomin and Zelevinsky in 2002, since then it turned out that the notion is connected to numerous different fields in mathematics (such as Poisson geometry, representation theory, integrable systems, combinatorics of polytopes, Teihmuller theory, dilogorithm identities, probability theory and many others). In this talk we will introduce cluster algebras and show some connections to triangulated surfaces. More precisely, we will see how an experience in classification of hyperbolic Coxeter polytopes helped to solve some classificational problem in cluster algebras. The work is joint with Pavel Tumarkin and Michael Shapiro.

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External Speakers

Anna Felikson (Durham University)