L-functions from Algebraic Geometry
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Description: Lorentz Center, Lieden, Netherlands; 17--21 September 2001.
L-functions from algebraic geometry L-functions from algebraic geometry H. W. Lenstra, Jr (Leiden/Berkeley), of the workshop is now available. if you want to attend. There is no registration fee. In 2000, the Clay Mathematics Institute published a list of seven one-million dollar Millennium Prize Problems. These problems, selected by a panel of leading mathematicians, are widely regarded as the most important open problems in mathematics. One problem on the list is the Riemann Hypothesis, which concerns the location of the zeroes of the so-called Riemann zeta function. A proof of the Riemann Hypothesis would have major implications for many questions in number theory, notably on the distribution of prime numbers. Another Clay problem is the conjecture of Birch and Swinnerton-Dyer. It asserts that one can obtain very precise information about the arithmetic of an elliptic curve---or, in plain terms, about the rational solutions to cubic equations in two variables---by analytic means; namely, by examining a special value of the Hasse-Weil L-function associated to the curve.
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