Timeline for Has anyone seen a nice map of multiplicative cohomology theories?
Current License: CC BY-SA 3.0
11 events
| when toggle format | what | by | license | comment | |
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| Dec 3, 2017 at 0:01 | answer | added | John Rognes | timeline score: 4 | |
| Oct 23, 2017 at 8:03 | vote | accept | მამუკა ჯიბლაძე | ||
| Jul 11, 2017 at 16:13 | answer | added | skd | timeline score: 25 | |
| Jul 6, 2017 at 21:12 | comment | added | J Cameron | This isn't an answer to your entire question but Paul Balmer has a nice picture of the (tensor triangulated) spectrum of the stable homotopy category on page 16 of this article on his webpage: math.ucla.edu/~balmer/Pubfile/TTG.pdf (this is essentially just a nice way of packaging the contents of the nilpotence theorem) | |
| Jul 6, 2017 at 19:46 | comment | added | მამუკა ჯიბლაძე | @user43326 This is exactly the precious "secret" information that I am up to. I'd love to see it all in an answer | |
| Jul 6, 2017 at 16:17 | comment | added | user43326 | There are spectra T(n) (or X(n) over integers) between the sphere and MU. As to HZ, you can consider it as BP<0> (and HZ/p as BP<-1> | |
| Jul 6, 2017 at 16:02 | comment | added | მამუკა ჯიბლაძე | @DenisNardin Just that - aware. I honestly don't know how does it affect the picture, except that of course all these "directions" in the map are not unique, there are whole families of maps between some of these spots on the map (in other words, it is a category). Still, I just want to know whether there is sense in some sort of map that might picture this category. Roughly like the diagram of extensions of a field. There are automorphisms at each vertex, but otherwise it is much like a poset, is not it? This is what I want here - a sketch, a picture simplified as much as possible. | |
| Jul 6, 2017 at 14:37 | comment | added | Denis Nardin | I cannot figure out what is your question. Can you focus it a little bit? I assume you are aware of the important role the moduli stack of formal groups plays in organizing all this. | |
| Jul 6, 2017 at 13:54 | history | edited | მამუკა ჯიბლაძე | CC BY-SA 3.0 |
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| Jul 6, 2017 at 13:34 | history | edited | მამუკა ჯიბლაძე | CC BY-SA 3.0 |
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| Jul 6, 2017 at 13:28 | history | asked | მამუკა ჯიბლაძე | CC BY-SA 3.0 |