Seminar
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| Location: | SLMath: Eisenbud Auditorium, Online/Virtual |
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification
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Free Resolutions, Linkage, and Representation Theory - 3
We generalize the well-known Buchsbaum-Eisenbud resolution of 2n x 2n pfaffians of a generic (2n+1) x (2n+1) skew matrix by exhibiting it as one member of a family of complexes constructed using two gradings on particular Kac-Moody Lie algebras (in the talk we will focus on the finite-dimensional case). These complexes resolve the coordinate rings of certain Schubert varieties. Just as how Buchsbaum-Eisenbud gives the generic resolution for grade 3 Gorenstein ideals, we will later see that this family of complexes yields generic resolutions for all grade 3 licci ideals.
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