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From classical tilting to two-term silting

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Abstract

We survey some recent results generalizing classical tilting theory to a theory of two-term silting objects. In particular, this includes a generalized Brenner-Butler theorem, and a homological characterization of algebras obtained by two-term silting from hereditary algebras.

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Acknowledgements

This work was supported by FRINAT from the Norwegian Research Council (Grant No. 231000). The author thanks his coauthor Yu Zhou for pleasant and fruitful cooperation on the three papers on which this survey is based. The author also thanks Fang Li, Zongzhu Lin and Bin Zhu, for organizing the very nice International Workshop on Cluster Algebras in Nankai University, Tianjin (2017), and also for inviting him to contribute with this article to this special topic.

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  1. Department of Mathematical Sciences, Norwegian University of Science and Technology, Trondheim, 7491, Norway

    Aslak Bakke Buan

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  1. Aslak Bakke Buan
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Correspondence to Aslak Bakke Buan.

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Buan, A.B. From classical tilting to two-term silting. Sci. China Math. 62, 1233–1240 (2019). https://doi.org/10.1007/s11425-018-9550-9

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