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Quiver mutations, reflection groups and curves on punctured disc

Dates:21 February 2019
Times:15:00 - 15:00
What is it:Seminar
Organiser:Department of Mathematics
Who is it for:University staff, External researchers, Adults, Alumni, Current University students
Speaker:Professor Anna Felikson
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  • By Department of Mathematics

Mutations of quivers were introduced by Fomin and Zelevinsky in 2002 in the context of cluster algebras. For some classes of quivers, mutations can be realised using geometric or combinatorial models. We will discuss a construction of a geometric model for all acyclic quivers. The construction is based on the geometry of reflection groups acting in quadratic spaces. As an application, we show an easy and explicit way to characterise real Schur roots (i.e. dimension vectors of indecomposable rigid representations of Q over the path algebra kQ), which proves a recent conjecture of K.-H. Lee and K. Lee for a large class of acyclic quivers.

Speaker

Professor Anna Felikson

Organisation: University of Durham

  • http://www.maths.dur.ac.uk/users/anna.felikson/

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Frank Adams Room 1
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The School of Mathematics

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mathematics@manchester.ac.uk

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