Скачать или смотреть CAR | Dr. Aslak Bakke Buan | On wide subcategories

CAR | Dr. Aslak Bakke Buan | On wide subcategories

Speaker: Dr Aslak Bakke Buan (Norwegian University of Science and Technology)
Date: 16th Nov 2021 - 16:00 to 17:00
Venue: INI Seminar Room 2
Title: On wide subcategories
Event: (CAR) Cluster algebras and representation theory
Abstract: In earlier joint work with Marsh, we defined a categorical structure on the set of all wide subcategories of a fixed module category, where maps correspond to tau-rigid objects. Our construction worked for tau-tilting finite algebras, and was motivated by Igusa-Todorov'sdefinition of such a category in the hereditary case.
In recent joint work with Hanson, we considered the case of general finite-dimensional algebras.One then needs to restrict to a certain subclass of functorially finite subcategories; the tau-perpendicular wide categories. These were introduced by Jasso,generalizing Geigle-Lenzing perpendicular categories in the hereditary setting. We give a characterize such categories, inspired by the work of Marks-Stoviceck and Ingalls-Thomas, which provided links to torsion theory.

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