Sep 30, 2021
Hilbert schemes of affine spaces
ALGEBRAIC GEOMETRY & NUMBER THEORY SEMINAR
Date: September 30, 2021 |
1:00 pm –
Speaker: Maria Yakerson, ETH Zürich
Location: Heinzel Seminar Room (I21.EG.101), Office Building West
Hilbert schemes of smooth surfaces are well-studied objects, however not much is known about Hilbert schemes of higher dimensional varieties. In this talk, we will speak about topological properties of Hilbert schemes of affine spaces. In particular, we will compute the homotopy type of the Hilbert scheme of infinite affine space. Time permitting, we will discuss a generalization of this computation for certain Quot schemes. This is joint work with Marc Hoyois, Joachim Jelisiejew, Denis Nardin, and Burt Totaro.