On recent Diophantine results
Professor Michel
Waldschmidt
Institut de Mathématiques de Jussieu (UMR 7586 du CNRS)
Université Pierre et Marie Curie (Paris VI)
Diophantus of Alexandria was a greek mathematician, around 200~AD,
who studied mathematical problems, mostly geometrical ones, which he reduced to
equations in rational integers or rational numbers. Nowadays one of the
most efficient tools for solving Diophantine equations is Diophantine
approximation theory, which studies the approximation of real or complex
numbers by rational numbers or by algebraic numbers. Instead of speaking of
solutions of polynomial equations, one may rather consider integer or rational
points on algebraic varieties and use the language (and the powerful tools) of
Diophantine geometry. The methods involved in Diophantine approximation are
essentially those which yield irrationality or transcendence results. We survey
some of the recent results concerning these different aspects of Diophantine
analysis.
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Room 517, Meng Wah
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Tea
will be held in Room 516, Meng Wah
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All are welcome |
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