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Going Beyond Fermat's Last Theorem
amjith writes "An Indian mathematician, Chandrashekhar Khare, is poised to make a significant breakthrough in the field of number theory with his solution of part of a major outstanding problem in algebraic number theory. He is currently an associate professor in Mathematics Department of University of Utah. "
I know I'm poised to make a huge breakthrough, unfortunately I can never seem to make it over that last hurdle, which is, you know.. to make the actual breakthrough.
Starsucks
Could somebody explain what this is about, and what this would mean? There isn't any concrete information on that in TFA ...
Besides, this is kinda vaporware. Why is this even news? Why not talk about it once it's done?
EagerEyes.org: Visualization and Visual Communication
And being an associate professor and at the University of Utah. Why oh why do they flood us with these details? :(
It's extra information about the guy that made the breakthrough. It explains why the article that describes the achievement is The Hindu - an Indian newspaper. Obviously you are trying to make a not-so-subtle 'it's racist' comment. Would you have been quite so quick to jump on your high horse if the mathematician was of a different nationality - say American or British?
Maybe it's not, but then neither is the fact that he's an associate professor at the Mathematics Department of the University of Utah.
It's pretty common to mention where people are from when giving a news story. It's part of the human interest.
I mean, look at the "Science" page RIGHT NOW:
"First hypothesized to be possible 30 years ago by Russian physicist Victor Veselago, meta-material..."
See? Russian physicist.
Are you trying to imply there's some sort of racial overtone to the article? I don't get it.
Because Indians are naturally better at higher math than other ethnic groups. Which is why, incidentally, that the early settlers in America tried to wipe them out.
You can't add pianos and telephones.
That may be true, but you'll never truly understand Algebra until you read it in its original Klingon.
Too late, the San Francisco 49ers already drafted him.
Oh wait.
Yes, it's just you.
5 06 530100.htm
The phrase you find so objectionable is *the first paragraph* of the the linked article in The Hindu, written by one " T. Jayaraman".
"MUMBAI: An Indian mathematician, Chandrashekhar Khare, is poised to make a significant breakthrough in the field of number theory: with his solution of part of a major outstanding problem in algebraic number theory."
http://www.hindu.com/2005/04/25/stories/2005042
One suspects that The Hindu wrote it that way because The Hindu takes a special interest in Indians around the world and their achievements -- does this make them racists?
Only to you.
Kill, Tux, kill!
I have discovered a truely remarkable proof for this theorem which the bandwidth of the server is unable to contain.
This site does not have a very good record with mathematical breakthroughs that it runs on the front page. Just to give some examples:
1) A year and a half ago Slashdot ran a story (along with most of the MSM) about a Swedish girl having solved the 16th Hilbert problem. That turned out to be a completely bogus claim - she had, in fact, proved nothing.
2) Slashdot ran with there being infinitely many twin primes. The proof was flawed.
3) No, the Riemann hypothesis (the most coveted result in all of Mathematics) has not been proved.
Those are just the examples I can remember off hand. There have been several more, and I cannot think of a single one that has turned out to actually be true. So please take vague stories about being "poised to make a great story" from local press with a pretty hefty grain of salt...
Glancing over the responses so far, I've come across several links to "the" Serre conjecture. Of course, since this is Slashdot (Land of the Karma Whore) it also looks like not a one of those referred to the conjecture relevant to this discussion.
The particular conjecture of Serre that matters here focuses on the two-dimensional representations over a finite field of the Galois group Gal(Qbar/Q). Now since that's not particularly illuminating, let me say a bit more...
First, Qbar denotes the algebraic completion of the rational numbers -- that is, all the stuff you need to add to the rationals so that you can do stuff like factor polynomials with rational coefficients. So things like sqrt(2) are in Qbar, but transcental numbers like pi aren't.
Gal(Qbar/Q) is the group of symmetries of Qbar over Q -- the ways you can map it to itself while still preserving multiplication and addition, and leaving the rational numbers inside Qbar alone. For instance, complex conjugation gives an element of the Galois group.
Now one way to understand any group of symmetries is by looking at its "linear representations" -- basically, ways of assigning matrices to each of the symmetries so that matrix multiplication matches up with the composition of symmetries.
The conjecture talked about here claims to describe (in some sense) all such (irreducible) representations of Gal(Qbar/Q), at least if you limit yourself to 2x2 matrices and coefficients in a finite field.
This is similar to the Langlands Correspondence, which (among other things) deals with representations of Gal(Qbar/Q) by complex matrices (though not just 2x2).