Seminar
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| Location: | SLMath: Eisenbud Auditorium, Online/Virtual |
The Minimal Resolution Conjecture on points on generic curves
The Minimal Resolution Conjecture predicts the shape of the resolution of general sets of points on a projective variety in terms of the geometry (that is, the Hilbert function) of the variety. The problem received considerable attention when the variety in question is the projective space.
I will present an introduction to this circle of ideas, then focus on an essentially complete solution to this conjecture for general curves. Our methods also provide a proof (valid in arbitrary characteristic) of Butler's Conjecture on the stability of syzygy bundles on a general curve of every genus at least 3, as well as of the Frobenius semistability in positive characteristic of the syzygy bundle of a general curve. This is joint work with E. Larson.
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