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Algebra & Geometry Seminar

Monday, March 7th, 2022

Time: 4:30 p.m.  Place: Online via Zoom (contact Kaveh Mousavand for Zoom link)

Speaker: Yarian Diaz (University of Iowa)

Title: Stability Functions for Dynkin Quivers and Almost Split Sequences.

Abstract: We provide an efficient criterion for determining which stability functions make all indecomposable representations of a Dynkin quiver Q stable. By definition this requires considering an inequality for each pair consisting of one indecomposable representation of Q and one of its proper, non-zero subrepresentations. We use Auslander-Reiten theory to significantly reduce the number of inequalities down to one inequality for each almost split sequence with indecomposable middle term.

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