Millennium prize is given to mathematicians who solve seven most difficult problems in mathematics listed by The Clay Mathematics Institute of Cambridge, Massachusetts (CMI). Mathematician who solves any of these 7 problems will get 1 million dollar prize. The seven Millennium Prize Problems were chosen by the founding Scientific Advisory Board of CMI and were announced at a meeting held in Paris in 2000.
Millenium prize once again attracted worldwide attention after Indian engineer Vinay Deolalikar came out with research paper on most difficult computer science problem, P and NP. Click here to read his research paper on P is not equal to NP.
Vinay Deolalikar is an Indian citizen born in New Delhi and is now a Principal Research Scientist at HP labs. He completed Masters in Electrical Engineering at the IIT, Mumbai and done Ph.D in USA.
7 unsolved Mathematical problems:
1. Yang-Mills and Mass Gap: On elementary particles and mass gap
2. Riemann Hypothesis: On prime numbers
3. Poincaré Conjecture (1904): On three dimensional spheres. This problem was solved by Grigory Perelman. But, he turned down the prize money (4.5 crore rupees).
4. P vs NP Problem: The speed at which a computer can accomplish a task. Indian mathematician Vinay Deolalikar (HP engineer) submitted his solution problem. It is waiting for approval. According to him, P is not equal to NP. Stephen Cook and Leonid Levin formulated the P (i.e., easy to find) versus NP (i.e., easy to check) problem independently in 1971.
5. Navier-Stokes Equation: Unsolved problem for more than 100 years.
6. Hodge Conjecture: On algebraic cycles
7. Birch and Swinnerton-Dyer Conjecture: On rational points and zeta function.
Despite so much progress made in the last century, still some crucial mathematical problems remain unsolved. Only one problem was solved in the last 10 years.
Mmm, 7 “unsolved” mathematical problems, yet you explicitly mention problem 3 being solved….
Sir, at the time of prize announcement, it was stated like that. I mentioned like that as that term is most popular.
hi sir. im very much interested in the topic related to navier-stokes equation and reimann theory. will u pls let me know further abt these topics. if u dont mind im unable to understand the complicated words. pls simplify as what is being so difficult to solve these problems. pls let me know the parameters in simple words and with examples if possible. i will be indebted for this. thank u sir.