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

### Wednesday, January 29th, 2020

**Time:** 4:00-5:30 p.m ** Place:** Jeffery Hall 319

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

**Title:** An overview of Brill-Noether theory.

**Abstract:** The object of Brill-Noether theory is to answer the question : which $g^{r}_{d}$’s can a generic curve of genus $g$ have?

The relevance to Green’s conjecture is that this then allows us to compute the Clifford index of a generic curve of genus $g$.

The lecture will be an overview of Brill-Noether theory, including a sketch of the main lines of argument.