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SUMMARY:Rosanna Laking (University of Verona)
DTSTART:20210310T131500Z
DTEND:20210310T141500Z
DTSTAMP:20260423T023943Z
UID:AarHomAlg/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/AarHomAlg/2/
 ">Mutation and minimal inclusions of torsion classes</a>\nby Rosanna Lakin
 g (University of Verona) as part of Aarhus Homological Algebra Seminar\n\n
 \nAbstract\nTorsion pairs are fundamental tools in the study of abelian ca
 tegories\, which contain important information related to derived categori
 es and their t-structures.  In this talk we will consider the lattice of t
 orsion classes in the category of finite-dimensional modules over a finite
 -dimensional algebra\, with a particular focus on the minimal inclusions o
 f torsion classes.\n\nIt was shown by Adachi\, Iyama and Reiten that minim
 al inclusions of functorially finite torsion classes correspond to irreduc
 ible mutations of associated two-term silting complexes in the category of
  perfect complexes.  In this talk we will explain how minimal inclusions o
 f arbitrary torsion classes correspond to irreducible mutations of associa
 ted two-term cosilting complexes in the unbounded derived category.\n\nThi
 s talk will be based on joint work with Lidia Angeleri Hügel\, Jan Stovic
 ek and Jorge Vitória.\n
LOCATION:https://researchseminars.org/talk/AarHomAlg/2/
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