Old and new perspectives on Hilbert functions

Greg Smith (Queen's University, Ontario/KTH)

Tuesday 4th May, 2010 16:00-17:00 Mathematics Building, room 204


Hilbert functions are fundamental invariants in algebra geometry and commutative algebra. After recalling the basic definitions and motivating examples, we will discuss Macaulay's characterization for the collection of all Hilbert functions. We'll then contrast this with a newer viewpoint and look at potential applications.

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