Algebra Seminar: τ_d-tilting theory for Nakayama algebras

Welcome to join on site or via Zoom link (Meeting ID: 645 5572 6999, please contact the organizer for passcode)

Abstract: τ-tilting theory and torsion theory are established areas of interest in representation theory. Recently, there have been attempts to generalize these theories in the setting of higher homological algebra. d-torsion classes were introduced by Jørgensen, and several versions of higher analogues of τ-tilting modules have been introduced by different authors (Jacobsen–Jørgensen, Martínez–Mendoza, Zhou–Zu and others).  The aim of this talk is to give an explicit classification of some of these higher τ-tilting modules and higher torsion classes for truncated linear Nakayama algebras. This classification will also be used to illustrate the different properties of the proposed notions of higher τ-tilting modules. This is joint work with Endre S. Rundsveen.

This is a seminar in our algebra seminar series.