Timeline for The inverse Galois problem, what is it good for?
Current License: CC BY-SA 2.5
6 events
| when toggle format | what | by | license | comment | |
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| Jan 5, 2010 at 4:54 | comment | added | natura | I also agree that IGP is a very natural problem. Galois theory is one of the very first (highly) nontrivial example of equivalence of seemingly different categories, and it's one the most beautiful. | |
| Jan 5, 2010 at 4:51 | comment | added | natura | when you say “Answering the inverse Galois problem for solvable extensions required class field theory”， what do you mean? do you mean solvable extension over Q or over local fields? Thank you. | |
| Dec 11, 2009 at 11:56 | history | edited | Jonah Sinick | CC BY-SA 2.5 |
Removed inaccurate reference to Golod-Shafarevich inequality
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| Nov 28, 2009 at 19:59 | comment | added | Gil Kalai | I also agree. In fact, the problem is more natural than other famous open problems so it is an obvious challenge mathematicians face and progress in mathematics measured. There are views (see ihes.fr/~gromov/topics/SpacesandQuestions.pdf ) that dismiss the importance of "natural" problems rather than deep emerging problems. But even if you agree to this opinion (and I tend not to agree) Natural old-standing problems stand as an objective measure for progress in math. | |
| Nov 25, 2009 at 2:18 | comment | added | Lior Bary-Soroker | I agree with you. It is similar to Fermat last problem. The equation is just one of a gazillion others. But still it drove crazy the mathematical society for centuries, and was a catalysis for many very interesting mathematics. You can give the inverse Galois problem the credit for Hilbert's irreducibility theorem, which is one of my favorites. | |
| Nov 25, 2009 at 1:53 | history | answered | Jonah Sinick | CC BY-SA 2.5 |