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Diophantine approximation with the determinant method

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Simon Myerson
University College London/MPIM
Wed, 2018-09-12 14:30 - 15:30
MPIM Lecture Hall
Parent event: 
Number theory lunch seminar

The celebrated theorem of Pila and Wilkie, giving a subpolynomial bound for the number of rational points of bounded height on certain transcendental sets, has had far-reaching consequences in number theory. Recent work of Habegger gives a parallel result for points which are only close to a transcendental set. We discuss possible extensions of this result and their number-theoretic implications. This talk is based on joint work with Ryan Keast and Margaret Thomas.

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