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Department of Mathematical Sciences

Seminar Archives

On this page you can find information about seminars in this and previous academic years, where available on the database.

Pure Maths Colloquium: Cluster Algebras via reflection groups

Presented by Salvatore Stella, Rome

19 October 2015 16:00 in CM221

Cluster Algebras are a class of commutative rings introduced by Fomin and Zelevinsky as a tool to model positivity phenomena naturally arising on various varieties connected to Lie groups. Since their inception, they have given insights on a wide spectrum of problems often coming from previously unrelated branches of mathematics like Poisson geometry, discrete integrable systems, quiver representations, Calabi-Yau categories, and
Teichm├╝ller theory just to name a few. This makes them a formidable tool to have at hand.

Unfortunately the general definition of Cluster Algebra is quite technical and the standard examples are usually not so illuminating. In this talk we will present a simple minded combinatorial model that is sophisticated enough to capture the key features of the construction while using only some basic linear algebra constructions.

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