Year: 2025
Type: preprint
Abstract: This article provides an overview of the techniques related to classification of spherical and more general objects within triangulated categories, and its relationship with algebraic geometry, representation theory and symplectic geometry. The primary focus are the techniques of the authors within the 'finite' algebraic geometry setting in dimensions two and three, and within silting discrete algebras, but other approaches including to more general settings by Bapat-Deopurkar-Licata, Smith-Wemyss, Ishii-Uehara, Keating-Smith and Shimpi are also surveyed, in varying levels of detail. Various explicit examples are provided.
Source: arXiv (Cornell University)
Authors: Hara, Wahei, Wemyss, Michael
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4416169904
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