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(Multigraded) Hilbert functions September 24, 2012 (04:10 PM PDT - 05:00 PM PDT)
Parent Program: --
Location: UC Berkeley, 60 Evans Hall
Speaker(s) Diane Maclagan
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Commutative algebra often abstracts geometric problems into simple questions about algebraic invariants. I will illustrate this with some open problems on the Hilbert function (a simple algebraic invariant which measures the dimensions of graded pieces of a graded ring).
Geometry enters the picture when the ring is the projective coordinate ring of a variety. When the ring has a multigrading we also get some interesting combinatorics. I will emphasize the computational and combinatorial sides of this story.

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