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Abstract:
The Boij-Soderberg conjecture is a far-reaching conjecture on
the Betti numbers that appear in the minimal free resolution of a module
over a polynomial ring. We discuss these concepts and the conjecture.
The conjecture was proven in January 2008 in the Cohen-Macaulay case by
Eisenbud and Schreyer, and a non-Cohen Macaulay version was proven
in March by Boij. If there is time, we will discuss some of the
implications.
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