Thesis Defense
Fumiaki Suzuki
UIC
The integral Hodge conjecture and universality of the Abel-Jacobi maps
Abstract: The famous rational Hodge conjecture states that rational Hodge classes are algebraic. This long-standing heavily studied conjecture has remained widely open since it was proposed in the nineteen fifties. In contrast, certain integral analogues of the rational Hodge conjecture are known to fail in general. The main purpose of my thesis is to study how such analogues can fail and to provide new counterexamples.
Tuesday March 10, 2020 at 1:15 PM in 712 SEO