Timeline for Birch's conjecture from Representation Theory
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 4, 2016 at 4:36 | vote | accept | Watson Ladd | ||
| Feb 3, 2016 at 3:12 | comment | added | Kimball | Well then, if I understand what you're asking, then yes you can do it representation theoretically, or just in terms of level/holomorphicity for squarefree level. I wrote this as an answer, but let me know if I misunderstood your question. | |
| Feb 3, 2016 at 3:11 | answer | added | Kimball | timeline score: 3 | |
| Feb 3, 2016 at 2:44 | comment | added | Watson Ladd | @Kimball I think I mentally included only the units in my $D^{x}$, and picked $x^2+y^2+z^2$ as the "right thing". The reason I want to do this is that the paramodular forms Jeffery Hein and I computed are the ones that happen in an analogous situation in $GU_{2}(D)$ vs $O(5)$. | |
| Feb 2, 2016 at 22:17 | comment | added | Kimball | There are a couple of things that don't make sense. "The nonsplit SO(3)" - it is not unique if you're working over global field. $D^\times$ is an infinite cover of an SO(3). Anyway, why don't you just work with $PD^\times$? | |
| Jan 21, 2016 at 1:46 | comment | added | Watson Ladd | Birch, B.J. "Hecke actions on classes of ternary quadratic forms". Computational Number Theory: Proceedings of the Colloquium on Computational Number Theory held at Kossus Lajos University. de Gruyter, 1991.books.google.com/… | |
| Jan 20, 2016 at 18:03 | comment | added | David Loeffler | Can you give a reference for this conjecture of Birch? | |
| Jan 20, 2016 at 16:44 | history | asked | Watson Ladd | CC BY-SA 3.0 |