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On the integral Hodge conjecture for real threefolds

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Olivier Benoist (Strasbourg)

What
  • Seminar
When Jan 19, 2017
from 10:30 am to 11:30 am
Where Bonn, Hörsaal MPI, Vivatsgasse 7
Contact Name Sachinidis
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The integral Hodge conjecture is a statement that predicts, when it holds true, what integral cohomology classes of a smooth projective complex variety are algebraic. I will formulate an analogue of it for varieties defined over the field of real numbers, describe some positive results for curve classes on three-dimensional varieties, and give applications to questions specific to real geometry: algebraicity of the cohomology of the real locus, existence of curves of even genus.    This is joint work with Olivier Wittenberg.