Timeline for Dimension leaps
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 29 at 13:04 | comment | added | Aurel | Dimensions 26, 27 and 28 have now been done by G. Chenevier and B. Allombert. | |
| Apr 19, 2011 at 16:00 | comment | added | Richard Borcherds | It's doable in 26 dimensions, just MUCH harder than in 25 dimensions. The main obstruction is that there seems no point in doing it; all one would get for a lot of effort would be a boring list of a couple of thousand lattices. (Their root systems have already been found by King by finding the mass of each root system.) | |
| Apr 19, 2011 at 1:18 | comment | added | Henry Cohn | Is this really undoable in $26$ dimensions? I'm not at all an expert, but my assumption has been that it could probably be done by computer, but just wouldn't be nearly as nice or interesting as in $25$ dimensions (since the beautiful $II_{25,1}$ picture would be missing). However, I've never really thought through how complex it might be. Do you think it could be done by, say, a bright undergraduate with a love of programming, a lot of spare time, and access to a big cluster? Or would it require a serious new idea to make it feasible? | |
| Apr 18, 2011 at 20:24 | history | answered | Richard Borcherds | CC BY-SA 3.0 |