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Monday, December 06, 2021
4:00 PM - 5:00 PM
Linde Hall 387

Algebra and Geometry Seminar

The Hilbert scheme of points on affine space
Burt Totaro, Department of Mathematics, UCLA,

I will discuss the Hilbert scheme of d points on affine n-space, with some examples. This space has many irreducible components for n at least 3 and has been poorly understood. For n larger than d, we determine the homotopy type of the Hilbert scheme in a range of dimensions. Many questions remain. (Partly joint work with Marc Hoyois, Joachim Jelisiejew, Denis Nardin, Maria Yakerson.)

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