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MATH 735:
Hilbert Functions, and Resolving Monomial and Toric Ideals (Spring 2007)
Instructor:
Irena Peeva
Meeting
Time & Room
The lectures will focus on two topics: Hilbert functions, and resolutions
of Monomial and Toric Ideals.
Tentative list of topics on Hilbert Functions: Hilbert functions of graded ideals in a polynomial ring;
Lexicographic ideals, Compression, Macaulay's Theorem, Gotzmann's Persistence
Theorem,
Green's Theorem, Maximal Betti numbers of lex ideals, Hilbert functions
over exterior algebras
and Kruskal-Katona's Theorem, Quotient rings and Clements-Lindstrom's
Theorem, Open problems
and Conjectures.
Last modified:October 31, 2006
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