Ruxandra Moraru, Department of Pure Mathematics, University of Waterloo
"Divisors and line bundles"
In this talk, we will discuss the relationship between divisors and line bundles on complex varieties. We will, in particular, compare the divisor class group $Cl(X)$ and the Picard group $Pic(X)$ of a complex variety $X$, which classify divisors and line bundles up to equivalence, respectively. We will also give explicit examples and, time permitting, describe $Div(X)$ and $Pic(X)$ in the case where $X$ is a toric variety.