It’s supported on P1, how complicated could it be?

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• Parth Shimpi, University of Glasgow
• Wednesday 05 November 2025, 14:15-15:15
• CMS MR13.

If you have a question about this talk, please contact Dhruv Ranganathan.

“Not complicated at all”, at least that is the case I will make. In the deep dark forest prowled by serpentine complexes and monstrous sheaves that are challenging to identify (let alone analyse), rational curves provide a warm and cozy retreat—- the calm of knowing where everything sits and nothing can go wrong. Be it a surface, a threefold, or simply a single curve: if all you care about is what sits near a P1, I will sketch how a little representation theory goes a long way in providing a complete map of the derived category.

This talk is part of the Algebraic Geometry Seminar series.

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