University of Texas Lectures on the Millennium Problems (2001)

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source: It's so blatant      2014年6月13日
The Poincare 'Conjecture' is not included in this list since it has been proved.
To read up on the problems visit:
(1) http://www.claymath.org/millennium-problems/millennium-pr...
(2) http://www.claymath.org/millennium-problems
(3) Also check out: http://www.ma.utexas.edu/millenium_site/mlectures.html

01 Birch and Swinnerton-Dyer Conjecture 1:08:45 Lecture by Fernando Rodriguez-Villegas
Supported by much experimental evidence, this conjecture relates the number of points on an elliptic curve mod p to the rank of the group of rational points. Elliptic curves, defined by cubic equations in two variables, are fundamental mathematical objects that arise in many areas: Wiles' proof of the Fermat Conjecture, factorization of numbers into primes, and cryptography, to name three.
Official Problem Description: http://www.claymath.org/sites/default...
The Birch—Swinnerton--Dyer Conjecture: a Status Report, Fernando Rodriguez Villegas - http://player.vimeo.com/video/83069749
Source of the video and all other information:
(1) http://www.claymath.org/publications/...
(2) http://www.claymath.org/millenium-pro...
(3) http://www.claymath.org/
For further information visit (3)
02 Yang--Mills and Mass Gap 1:15:32
03 P vs NP Problem 1:26:46
04 Navier-Stokes Equation 52:05
05 Hodge Conjecture 1:18:23
06 Riemann Hypothesis 1:20:37