Colloquium abstracts

V. Srinivas
December 22, 2016

What is the Hodge Conjecture ?:  This talk will give an introduction to the Hodge Conjecture, intended to be accessible for students. I will explain the statement of the conjecture, after reviewing some necessary background, including the one basic case where this is known, the Lefschetz $(1,1)$ theorem. I will also touch on other aspects, as time permits: the failure of the ``integral Hodge conjecture'', and some related questions for singular varieties.