Graduate Student Colloquium
Luigi Lombardi
UIC
Inequalities for the Hodge Numbers
Abstract: The Hodge numbers represent the dimensions of certain cohomology spaces (the Dolbeault cohomology) and
are often used in the classification theory of complex manifolds. In this talk we will review inequalities
involving Hodge numbers, starting from the classical ones and continuing through to the most recent ones. We will introduce all the
notions necessary to the understanding of the problem and plenty of time will be devoted to examples.
Though all are welcome to attend, this talk is intended to be accessible for graduate students of all levels; no background knowledge of Hodge theory is expected.
Monday February 6, 2012 at 4:15 PM in SEO 636