# Mathematical Sciences Research Institute

Home » MSRI Colloquium: "Smooth and Irreducible Multigraded Hilbert Schemes"

# Seminar

MSRI Colloquium: "Smooth and Irreducible Multigraded Hilbert Schemes" May 15, 2009
Location: MSRI: Simons Auditorium
Speaker(s) Gregory Smith
Description No Description

Video
Abstract/Media

The multigraded Hilbert scheme parametrizes all homogeneous ideals in a polynomial ring graded by an abelian group with a fixed Hilbert function. In this talk, we'll show that any multigraded Hilbert scheme is smooth and irreducible when the polynomial ring is ZZ[x,y]; this establishes a conjecture of Haiman and Sturmfels.