Timeline for Have chromatic techniques actually been used to compute more stable homotopy groups of spheres?
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
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| Jun 24, 2017 at 15:57 | comment | added | skd | As I understand it, the purpose of chromotopy is to organize infinite families of elements in pi_* S. For instance, there's Mahowald's infinite eta_j family; does that count? | |
| May 3, 2017 at 2:22 | comment | added | Dylan Wilson | Yes. Look at Ravenel's method of infinite descent, for example. | |
| May 3, 2017 at 0:14 | comment | added | Denis Nardin | Not quite computing stems, but chromatic techniques (among other things) are crucial to the solution of the Kervaire invariant one problem, which is in a sense "computing homotopy groups". I don't think that "computing stems" is a useful metric though. Chromatic techniques are very useful to understand the structure of the homotopy groups, which is far more interesting. | |
| May 3, 2017 at 0:06 | history | asked | Miko Himmel | CC BY-SA 3.0 |