Formalising the Multigraded Proj Construction in Lean 4

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• Jujian Zhang (Imperial College London) and Arnaud Mayeux (The Hebrew University of Jerusalem)
• Thursday 19 June 2025, 17:00-18:00
• MR14 Centre for Mathematical Sciences.

If you have a question about this talk, please contact Anand Rao Tadipatri.

Brenner-Schröer Proj construction, also known as multigraded Proj construction generalizes the ℕ-graded Proj construction to rings graded by arbitrary finitely generated abelian groups. It is a generalization in the sense that it also has twisting sheaves, blowups, and quasi-coherent sheaf; moreover, it is fully functorial and compatible with tensor product. We formalized the Brenner-Schröer Proj construction and its functorality in Lean4. In this talk, we will go through the relevant mathematical background of the multigraded Proj construction and explain how to work with graded objects and glueing of schemes in Lean4.

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Meeting ID: 898 5609 1954 Passcode: ITPtalk

This talk is part of the Formalisation of mathematics with interactive theorem provers series.

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