Pure Maths Colloquium: Presentations of reflections groups arising from cluster algebras
11 February 2013 16:00 in CM221
Cluster algebras were introduced in 2002 by Fomin and Zelevinsky
and turned out to be connected to numerous fields of mathematics.
Based on cluster algebras, Barot and Marsh recently constructed
various presentations of finite Coxeter groups. We will discuss
generalizations and a geometric interpretation of these results: it
occurs that these presentations give rise to a construction of
geometric manifolds, it particular to some hyperbolic manifolds of
The talk is based on the ongoing work joint with Pavel Tumarkin.
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