COLUMBIA UNIVERSITY
MATHEMATICS DEPARTMENT
Ellis R. Kolchin Memorial Lecture
Burt Totaro
UCLA
“The Hodge Conjecture: History and Recent Progress”
A basic issue in algebraic geometry is the relation between continuous functions
(topology) and polynomial functions over the complex numbers (algebraic geometry). The Hodge conjecture is a major problem about this
relation: roughly, when can an even-dimensional real submanifold of a complex algebraic manifold be moved continuously to a complex algebraic submanifold? We
discuss the history and some recent advances, notably on the integral Hodge conjecture in dimension 3.
Monday, April 15, 2013 from 4:15pm—5:15pm
Mathematics Building, Room 207
Columbia University - 2990 Broadway at 117th St.