Yilin Wu

Seminars and Working groups 📚

Teaching 📖

Publications and preprints 😵‍💫

Preprints

• joint with Li Fan, Graded Higgs categories, in preparation.
• Yilin Wu, Silting reduction, relative AGK's construction and Higgs construction.
• Yilin Wu, Group actions on Higgs categories and relative cluster categories.
• joint with Bernhard Keller, Relative cluster categories and Higgs categories with infinite-dimensional morphism spaces, with an appendix by C. Fraser and B. Keller.

Publications

• joint with Jinyi Xu and Guodong Zhou, GAGA type results for singularity categories, J. Pure Appl. Algebra. 229 (2025).
• Yilin Wu, Relative cluster categories and Higgs categories, Adv. Math. 424 (2023). (arXiv:2109.03707)
• Yilin Wu, Categorification of ice quiver mutation, Math. Z. 304, 11 (2023). (arXiv:2109.04503)
• Yilin Wu and Guodong Zhou, From short exact sequences of abelian categories to short exact sequences of homotopy categories and derived categories , Electron. Res. Arch. 30 (2022), no. 2, 535–564.
• Yilin Wu, Relative Calabi-Yau structures in representation theory , Ph.D thesis, 2021.

Presentations 😁

• 香港大学, Workshop on cluster algebras, representation theory and algebraic geometr, September 4-9, 2023.
• 郑州大学, September 5 and 13, 2022.
• 安徽大学, June 23, 2022.
• 中山大学 (珠海), June 10, 2022.
• 清华大学代数表示论新春报告会, January 23, 2022.
• Interdisciplinary applications of cluster algebras, Isaac Newton Institute, 26 November, 2021.
• Séminaire de Théorie des Groupes, Amiens, 18 November 2021.
• LAGOON seminar, 24 June, 2021.
• VIRTUAL ARTA 2021, May 21, 2021.

• Cluster Algebras Portal
• Quiver mutation in Javascript and Java, developed by Prof. Bernhard Keller.
• FDLIST
• kerodon.net, an online resource for homotopy-coherent mathematics
• The Moduli Space
• The Stacks project
• Representation theory resources and references
• Geometric Langlands Seminar
• Notes on Geometric Langlands