 |
Post AU450bMB8dtfeFzz5E by [email protected] |
 |
More posts by [email protected] |
|
Post #AU36JjieB2HRskEiDw by [email protected] |
|
0 likes, 0 repeats |
|
|
|
Most theorems in math are not famous named mountain peaks like Fermat's Las… |
|
|
|
Post #AU38Mvp1pp6mCBsA1Q by [email protected] |
|
0 likes, 0 repeats |
|
|
|
This is not actually what I'm worrying about today - I'm thinking about… |
|
|
|
Post #AU39oHrO6claJnaGqO by [email protected] |
|
0 likes, 0 repeats |
|
|
|
@johncarlosbaez IMHO it all boils down to these sets of polynomials being algeb… |
|
|
|
Post #AU3A4V12xce7kmpfvc by [email protected] |
|
0 likes, 0 repeats |
|
|
|
@johncarlosbaez it's funny for me to see this on my feed, since one of the … |
|
|
|
Post #AU3B96rcHj4oFWBScK by [email protected] |
|
0 likes, 0 repeats |
|
|
|
@johncarlosbaez My PhD thesis,1993, was "Symmetric functions of the eigenv… |
|
|
|
Post #AU3DiEglNqbEYsz6Rc by [email protected] |
|
0 likes, 0 repeats |
|
|
|
@johncarlosbaez The proof of existence I had reinvented for myself works by ind… |
|
|
|
Post #AU3DygiSwi1m7Xcri4 by [email protected] |
|
0 likes, 0 repeats |
|
|
|
@johncarlosbaez I spent one year trying to understand the simplicity of the alt… |
|
|
|
Post #AU3Grsr7iEJvbf7eeu by [email protected] |
|
0 likes, 0 repeats |
|
|
|
@johncarlosbaez the statement of the theorem is very nearly a permutation of it… |
|
|
|
Post #AU3N3URGv3g74vwqPY by [email protected] |
|
0 likes, 0 repeats |
|
|
|
@johncarlosbaez I heard it expressed this way... "if you have the right de… |
|
|
|
Post #AU3N3UWEcbeFKKGo9A by [email protected] |
|
0 likes, 0 repeats |
|
|
|
@grtyvr - that's true for some theorems. But there's no choice of defi… |
|
|
|
Post #AU3N8hqyTJ9u8BSQoi by [email protected] |
|
0 likes, 0 repeats |
|
|
|
@tpfto - I don't know jack about Jack polynomials, but I sure know about Sc… |
|
|
|
Post #AU3Ns5Y9DS82egI89Y by [email protected] |
|
0 likes, 0 repeats |
|
|
|
@uberwensch - I think people usually call them "elementary" symmetric… |
|
|
|
Post #AU3P4noGaHH9M1SPMO by [email protected] |
|
0 likes, 0 repeats |
|
|
|
@johncarlosbaez interestingly, I was meeting with a co-worker a while ago where… |
|
|
|
Post #AU3T7CpSvvuzLWQ58i by [email protected] |
|
0 likes, 0 repeats |
|
|
|
@antoinechambertloir - I'd be happy to see your proof that Aₙ is simple f… |
|
|
|
Post #AU3TQmPCswFdBdTFku by [email protected] |
|
0 likes, 0 repeats |
|
|
|
@johncarlosbaez Coincidentally, I just picked up a book on Groebner deformation… |
|
|
|
Post #AU3TQmTobnwBPvcvwG by [email protected] |
|
0 likes, 0 repeats |
|
|
|
@NathanHarvey - I don't know what Groebner deformations are, and they sound… |
|
|
|
Post #AU3Td5Y7XDk62EVe52 by [email protected] |
|
0 likes, 0 repeats |
|
|
|
@johncarlosbaez You may enjoy the following cute property: if you take a symmet… |
|
|
|
Post #AU3Td5d5EliEHcpboe by [email protected] |
|
0 likes, 0 repeats |
|
|
|
@julesjacobs - that's somewhat interesting, and not obvious to me. Have I … |
|
|
|
Post #AU3W495wf0Jml5MOUS by [email protected] |
|
0 likes, 0 repeats |
|
|
|
@johncarlosbaez Yes, you are right, and thank you. Wouldn't want to mislead… |
|
|
|
Post #AU3WLhmmvv3jH1lyK0 by [email protected] |
|
0 likes, 0 repeats |
|
|
|
@johncarlosbaez https://arxiv.org/abs/2303.12404 |
|
|
|
Post #AU3WcOLyR5aZvaBfii by [email protected] |
|
0 likes, 0 repeats |
|
|
|
@tpfto - I guess it's a standard joke. |
|
|
|
Post #AU3WfkFnT2EoietfyC by [email protected] |
|
0 likes, 0 repeats |
|
|
|
@johncarlosbaez You have to square first and then take the column ;) |
|
|
|
Post #AU3WfkKPBtvMwx3M9Y by [email protected] |
|
0 likes, 0 repeats |
|
|
|
@julesjacobs - okay, that's less crazy. |
|
|
|
Post #AU3WqcLRDHEHNKihKy by [email protected] |
|
0 likes, 0 repeats |
|
|
|
@uberwensch - is there a fundamental theorem of theorem of fundamental groups? … |
|
|
|
Post #AU3ZeobU6pEhmbI0lU by [email protected] |
|
0 likes, 0 repeats |
|
|
|
@johncarlosbaez I love it. I propose to call van Kampen's theorem by this n… |
|
|
|
Post #AU3wBAdJw9ScMfyv6u by [email protected] |
|
0 likes, 0 repeats |
|
|
|
@johncarlosbaez The Fundamental Theorem of Symmetric Polynomials {\it ought} t… |
|
|
|
Post #AU447YsmdT26320KYq by [email protected] |
|
0 likes, 0 repeats |
|
|
|
@Ianagol - This is nice geometrical way of thinking about it. It reminds me th… |
|
|
|
Post #AU450bMB8dtfeFzz5E by [email protected] |
|
0 likes, 0 repeats |
|
|
|
@Ianagol @johncarlosbaez I was so confused when I first saw that ℂ² was home… |
|
|
|
Post #AU450bQmrVaDsY9fGa by [email protected] |
|
0 likes, 0 repeats |
|
|
|
@OscarCunningham @Ianagol - yeah, I too was once confused about this sort of th… |
|
|
|
Post #AU45q9O8MyT5xpUfqa by [email protected] |
|
0 likes, 0 repeats |
|
|
|
@johncarlosbaez @Ianagol Oof, things are even worse than I thought. The tip of … |
|
|
|
Post #AU4Fhyr6e3lgWRmvvU by [email protected] |
|
0 likes, 0 repeats |
|
|
|
@johncarlosbaez @antoinechambertloir I should tell a real story: around 1990 I … |
|
|
|
Post #AU4jtRF4RTvuN7NRHU by [email protected] |
|
0 likes, 0 repeats |
|
|
|
@johncarlosbaez was in a talk yesterday about how Schur polynomials and their g… |
|
|
|
Post #AU4tljikr028uLEAzo by [email protected] |
|
0 likes, 0 repeats |
|
|
|
@bones - I would have enjoyed that talk. There's a Schur polynomial for ea… |
|
|
|
Post #AU4wHzuQOxoCI1CIDY by [email protected] |
|
0 likes, 0 repeats |
|
|
|
@johncarlosbaez It looks like I muddled things up, Hilbert introduced the Nulls… |
|
|
|
Post #AU4xiBPeM0BJS0qvOi by [email protected] |
|
0 likes, 0 repeats |
|
|
|
@johncarlosbaez I’m a newbie to Schubert calculus (but trying to leaning more… |
|
|
|
Post #AU5Utrh6mzZcG2CGbA by [email protected] |
|
0 likes, 0 repeats |
|
|
|
@Ianagol - okay, thanks! Then I don't feel quite as confused. The second … |
|
|
|
Post #AU6UjjDPeZ04DsQvLM by [email protected] |
|
0 likes, 0 repeats |
|
|
|
@johncarlosbaez @OscarCunningham @Ianagol so from mentions of Hilbert's Nul… |
|
|
|
Post #AU85wu4ySoPf8wakXA by [email protected] |
|
0 likes, 0 repeats |
|
|
|
@jonasfrey wrote: "so from mentions of Hilbert's Nullstellensatz furth… |
