Hipolito Treffinger, Université Paris
Cité
Title: On τ-tilting subcategories
Abstract:
In this talk we will speak about the notion of (support) τ-tilting
subcategories in abelian categories with enough projective
objects. After recalling their definition, we show a bijection
between support τ-tilting subcategories and τ-torsion-cotorsion
triples and we will explain some of the consequences this
bijection.
Time permitting we will explain how the notion of support
τ-tilting subcategories relates with classical τ-tilting theory
and we will show an application of our results to quiver
representations.