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MSRI Colloquium: "Smooth and Irreducible Multigraded Hilbert Schemes"
Fri, May 15, 2009 2:00PM - 3:00PM
Time:2:00PM - 3:00PM
Location:Simons Auditorium
Speakers:Gregory Smith, Gregory Smith
Abstract: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.