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Orthogonality of weight and t-structures via derived projective covers

Lukas Bonfert (MPIM Bonn)
Wednesday 25 October 2023 16:15–17:15 Koll. G4 (1532-222)
Mathematics Seminar

Weight structures (also known as co-t-structures) and t-structures on triangulated categories are closely related by orthogonality. I will explain how this relation can be characterized in terms of simple-minded collections and silting collections, using derived projective covers which are an analog of projective covers in triangulated categories. If time permits, I will also discuss a result about Koszul duality between simple-minded and silting collections. The talk is based on arXiv:2309.00554.

Organised by: AarHomAlg
Contact: Raphael, Amit Revised: 09.10.2023