UC Berkeley

Commutative Algebra and Algebraic Geometry Seminar

May 01, 2012

939 Evans Hall

3:45PM: A categorical duality, and Boij-Soederberg theory for complexes with homology

David Eisenbud

The Hilbert polynomial is a fundamental invariant of a graded module or a coherent sheaf on projective space. This invariant is refined in two different ways by the Betti table of a graded module, and by the cohomology table of a coherent sheaf. Schreyer and I showed that these two refinements were in some sense dual to each other. I will explain recent work of mine with Daniel Erman that clarifies this duality and leads to new concrete applications as well.

5:00PM: TBA

Atoshi Chowdhury

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