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SUMMARY:On wide subcategories - Aslak Bakke Buan (Norwegian University of 
 Science and Technology)
DTSTART:20211116T160000Z
DTEND:20211116T170000Z
UID:TALK164827@talks.cam.ac.uk
DESCRIPTION:In earlier joint work with Marsh\, we defined a categorical st
 ructure on the set of all wide subcategories of a fixed module category\, 
 where maps correspond to tau-rigid objects. Our construction worked for ta
 u-tilting finite algebras\, and was motivated by Igusa-Todorov's&nbsp\;def
 inition of such a category in the hereditary case.\nIn recent joint work w
 ith Hanson\, we considered the case of general finite-dimensional algebras
 .&nbsp\;One then needs to restrict to a certain subclass of functorially f
 inite subcategories\; the tau-perpendicular wide categories. These were in
 troduced by Jasso\,&nbsp\;generalizing Geigle-Lenzing perpendicular catego
 ries in the hereditary setting. We give a characterize such categories\, i
 nspired by the work of Marks-Stoviceck and Ingalls-Thomas\, which provided
  links to torsion theory.
LOCATION:Seminar Room 2\, Newton Institute
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