Title: Rational points on cubic hypersurfaces
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Speaker: Roger Heath-Brown, University of Oxford </br>



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Abstract: </br>





The talk will begin with a light-hearted look at the importance
of cubic hypersurfaces, before examining what is known and conjectured about
rational points.  This will lead to an overview of a new general theorem
stating that any projective cubic hypersurface of dimension at least 12,
defined over the rationals, has at least one rational point.