## Curves Seminar - Mike Roth (Queen's University)

### Tuesday, November 6th, 2018

**Time:** 2:00-3:30 p.m ** Place:** Jeffery Hall 116

**Speaker:** Mike Roth (Queen's University)

**Title:** Local description of the Hilbert scheme when $n=2$, II.

**Abstract:** We will finish the discussion of local descriptions of the quotient by a finite group, and use them to give local pictures of $X^{[n]}$, $\operatorname{Sym}^n(X)$, the universal family over $X^{[n]}$, and the maps between them when $X$ is a smooth surface and $n=2$.