Hilbert schemes of affine spaces
ALGEBRAIC GEOMETRY & NUMBER THEORY SEMINAR
Date
Thursday, September 30, 2021 13:00 - 15:00
Speaker
Maria Yakerson (ETH Zürich)
Location
Heinzel Seminar Room (I21.EG.101), Office Building West
Series
Seminar/Talk
Tags
Mathematics and CS Seminar, mathematical_seminar_ics
Host
Tim Browning
Contact
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.