Algebra Seminar: Ben Elias -- Fusion quivers

Ben Elias (University of Oregon) will be speaking in this week’s algebra seminar.  We
will go out for lunch after the talk.  

Where: Carslaw 275 

When: Friday August 16, 12-1pm 

Title: Fusion quivers 

Abstract: A classical result of Gabriel states that the ADE quivers are precisely those
quivers with finitely many indecomposable representations, and that indecomposable
representations are parametrized by positive roots.  Edmund Heng found a generalization
of the concept of quiver representations which broadens Gabriel’s theorem to include all
finite types ABCDEFGH.  This talk will give an overview of recent work of Elias-Heng,
which provides the proper framework for Heng’s generalization and others: the concept of
a fusion quiver.  Our main result is a classification of fusion quivers with finitely
many indecomposable representations.