Categorified Duality in Boij-Soederberg Theory

Categorified Duality in Boij-Soederberg Theory

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Daniel Erman, University of Michigan
Fine Hall 322

The central idea in Boij-Soederberg Theory is that there is a connection between sheaf cohomology on projective space and free resolutions over the polynomial ring. I'll describe the construction of a duality pairing that provides a new foundation for this theory, and that greatly extends the reach of the theory. This is joint work with David Eisenbud.