# Gregory G. Smith: Old and new perspectives on Hilbert functions

**Time: **Wed 2010-04-14 16.00

**Location: **KTH, Matematik, seminarierum 3721, tea is served at 3:30 pm in the lunch room

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.