HRS tilting for co-t-structures and cotorsion pairs

Alexandra Zvonareva

09-Jun-2021, 14:00-15:00 (3 years ago)

Abstract: In this talk I will explain how to construct a new co-t-structure from a given co-t-structure (A,B) and a complete cotorsion pair in its extended co-heart C=Σ^2A∩B. This construction is similar to the Happel-Reiten-Smalo tilt of a t-structure with respect to a torsion pair in its heart and it induces a bijection between intermediate co-t-structures and complete cotorsion pairs. For a finite dimensional algebra this introduces a new component to the numerous existing bijections studied in tau-tilting theory and in silting theory, that is the bijections between intermediate algebraic t-structures, functorially finite torsion pairs, two-term silting complexes, and so on.

Based on joint work with David Pauksztello.

combinatoricscategory theoryrepresentation theory

Audience: researchers in the topic


The TRAC Seminar - Théorie de Représentations et ses Applications et Connections

Organizers: Thomas Brüstle*, Souheila Hassoun
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