Silting Objects

By Lidia Angeleri Hugel. Bulletin of the London Mathematical Society, 2018

66 citations recorded by the source corpus.

We give an overview of recent developments in silting theory. After an introduction on torsion pairs in triangulated categories, we discuss and compare different notions of silting and explain the interplay with t-structures and co-t-structures. We then focus on silting and cosilting objects in a triangulated category with coproducts and study the case of the unbounded derived category of a ring. We close the survey with some classification results over commutative noetherian rings and silting-discrete algebras.

Subfields: Algebra and Number Theory, Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/42798c43cd8779efffb1d051f5e2c8e066a2f65d

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In Algebra and Number Theory

1. Flaviu Pop
2. Simion Breaz
3. Lidia Angeleri Hugel

In Geometry and Topology

1. Flaviu Pop
2. Simion Breaz
3. Lidia Angeleri Hugel

In Statistical and Nonlinear Physics

1. Flaviu Pop
2. Simion Breaz

Citations in the corpus

• Cosilting Modules (2015, background): “Silting objects in triangulated categories, introduced by Keller and Vossieck in [15] for bounded derived categories, are important tools in the study of homotopy or derived categories since they are in correspondence with other important concepts such as (co-)t-structures or simple-minded collectio”