SMS scnews item created by Alex Sherman at Mon 12 Aug 2024 1311
Type: Seminar
Distribution: World
Expiry: 21 Oct 2024
Calendar1: 16 Aug 2024 1200-1300
CalLoc1: Carslaw 275
CalTitle1: Algebra Seminar: Fusion quivers
Auth: alexs@pool-173-66-192-26.washdc.fios.verizon.net (ashe8718) in SMS-SAML

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.


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