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Workshop on birational geometry, March 2019
29 марта 2019 г. 17:00, г. Москва, Room 306


Counterexamples to the integral Hodge conjecture

John Ottem

University of Oslo


https://youtu.be/YW2KaCAAZqI

Аннотация: 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 survey some of the known results on this conjecture, and then present some new counterexamples. This is joint work with Olivier Benoist.

Язык доклада: английский


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