Zhiyou Wu, Pure Mathematics, University of Waterloo
"Introduction to Hodge structures"
Hodge structure is an abstract notion modeled on the Hodge decomposition of cohomology groups of compact Kähler manifolds. We will introduce the basic notion of Hodge structure and see its relation with geometric objects such as abelian varieties and Riemann surfaces. If time permits we will discuss variation of Hodge structure, which is an important tool in complex algebraic geometry.