UC Berkeley

Commutative Algebra and Algebraic Geometry Seminar

April 08, 2008

939 Evans Hall

5:00PM: The Semigroup of Betti Diagrams

Daniel Erman

A string of recent papers by Boij/Soederberg, Eisenbud/Schreyer, and Eisenbud/Floystad/Weyman provides an elegant description of the rational cone of Betti diagrams of modules. These results give remarkable structure theorems on the minimal free resolution of a graded module. To obtain a complete description of all possible minimal free resolutions, one must consider not only the cone of Betti diagrams, but the underlying semigroup of Betti diagrams as well. I will discuss what is known and what is not known about this semigroup.

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