A modified Hodge conjecture (Dustin Clausen, University of Copenhagen)

11.05.2023 16:15

The Hodge conjecture, for a smooth projective variety over the complex numbers, gives a criterion on a cohomology class for it to be realized by algebraic cycles. But who knows --- maybe it's false! I will give an introduction to the Hodge conjecture, and then propose a modification, stronger in some ways and weaker in others, which is hopefully easier to prove. This is based on joint work with Peter Scholze.

P.S. The Colloquium will be followed by an aperitif

Lieu

Bâtiment: Conseil Général 7-9

Room 1-15, Colloque

entrée libre