Seminar
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| Location: | SLMath: Eisenbud Auditorium, Online/Virtual |
Keywords and Mathematics Subject Classification (MSC)
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Free Resolutions, Linkage, and Representation Theory - 4
If I is a grade 3 perfect ideal in S and F is a (minimal length) resolution of S/I, then a resolution F' for any directly linked ideal can be explicitly described using a dg-algebra structure on F. To understand ideals two links away from I, we would want an explicit dg-algebra structure on F', which Avramov, Kustin, and Miller traced back to additional structure on the original resolution F. We show how the higher structure maps arising from R_gen systematically extend this idea, and that their transformation under linkage is particularly elegant. We characterize and classify grade 3 licci ideals using this perspective, and deduce some consequences for the theory of generic free resolutions.
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