School of Mathematical Sciences

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Clusters

Speaker: 
Peter Cameron (QMUL).
Date/Time: 
Mon, 04/10/2010 - 17:30
Room: 
M103
Seminar series: 

Clusters, and the associated cluster algebras and cluster categories, form
a hot topic in mathematics at the moment. Introduced by Sergei Fomin and
Andrei Zelevinsky, clusters are connected with
topics such as Poisson geometry, integrable systems and representation
theory as well as combinatorial enumeration.

This is an exposition of the introductory part of the theory, not including
most of the applications hinted at above. There are some interesting
group-theoretic questions right at the beginning to which I don't know
the answer (though this doesn't mean that the answer isn't known).