The Integral Hodge conjecture for 3-folds

Tropical Geometry, Amoebas and Polytopes

24 April 15:30 - 16:30

John Christian Ottem - University of Oslo

The Hodge conjecture predicts which rational cohomology classes on a smooth complex projective variety can be represented by linear combinations of complex subvarieties. The integral Hodge conjecture, the analogous conjecture for integral homology classes, is known to be false in general (the first counterexamples were given in dimension 7 by Atiyah and Hirzebruch). I'll give a short survey talk on this conjecture, and present some new counterexamples in dimension three.
Jan Draisma
University of Bern
Anders Jensen
Aarhus University
Hannah Markwig
Universität Tübingen
Benjamin Nill
Otto von Guericke Universität Magdeburg


Hannah Markwig


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