Talk by
Burt Totaro (UCLA)
on
on
The Hilbert scheme of infinite affine space
Abstract:
I will discuss the Hilbert scheme of d points in affine n-space, with some examples. This space has many irreducible components for n at least 3 and is poorly understood. Nonetheless, in the limit where n goes to infinity, we show that the Hilbert scheme of d points in infinite affine space has a very simple homotopy type. In fact, it has the A1-homotopy type of the infinite Grassmannian BGL(d−1). Many questions remain. (Joint with Marc Hoyois, Joachim Jelisiejew, Denis Nardin, Maria Yakerson.)
This talk is hosted by Stanford University. Link to the talk site.