Timeline for Is there anything special about the Honda formal group?
Current License: CC BY-SA 4.0
3 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 6, 2023 at 6:18 | comment | added | Eric Peterson | I meant also to mention this paper by Chatham, Hahn, and Yuan (arxiv.org/abs/1910.04616), where they investigate various orientations for various E-theories and find some instances where the choice of formal group matters. This is a different direction one could take your question: in advance of passing to an “invariant” object like L_K(n) S, one can make queries of the different E-theories themselves and get qualitatively different answers. | |
| Feb 5, 2023 at 1:13 | comment | added | Eric Peterson | My understanding largely agrees with yours: in homotopy theory, the choice of the Honda FGL over others mostly doesn’t matter, though it can be convenient when making computational arguments which pass to the residue field. Though how much you care depends on your aims, the situation is different in number theory: Lubin and Tate really did want particular behavior at the residue field, where any old formal group law would not do, and reasons have been found to look at particular deformations over others as well. “Quasicanonical lift” is a good keyword to search. | |
| Feb 4, 2023 at 22:47 | history | asked | Doron Grossman-Naples | CC BY-SA 4.0 |