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. |