What is … a Hodge locus?
This page hosts information on Ananyo Dan's talk "What is … a
Hodge locus?" at the
"What is …?" seminar. The talk will take place on Friday, December 7, 5:30pm at HU, RUD 25 1.023.
Abstract
Given a family of smooth projective varieties

, the Hodge locus corresponding to a Hodge class

parametrizes all

where

remains a Hodge class. In this talk we discuss the definition of a Hodge class, variation of Hodge structures and the statement of the Hodge conjecture. We also look at the Lefschetz (1,1)-theorem which states that the Hodge conjecture is true in the case of divisors.