Timeline for Why are some heuristics successful?
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 20 at 1:31 | comment | added | semisimpleton | Unless I'm mistaken, @CarloBeenakker's answer is not about the analogy between number fields and function fields, but rather about the analogy between some algebro-geometric concepts and some topological concepts, which I think has been fully realised as a precise theory | |
| Nov 20 at 1:22 | comment | added | semisimpleton | @TimothyChow I think a theory can be considered a "full explanation" of the function field analogy only if it can be used to prove the number field Riemann Hypothesis in a manner analogous to the proof of the Weil Conjectures | |
| Nov 19 at 14:22 | comment | added | Timothy Chow | More generally, the analogy between function fields and number fields provides a heuristic: "what is true in one setting should be true in the other setting as well." However, whether we now possess an "explanation for the success" of this heuristic, as the OP requested, is maybe up for debate. | |
| S Nov 19 at 13:38 | history | answered | Carlo Beenakker | CC BY-SA 4.0 | |
| S Nov 19 at 13:38 | history | made wiki | Post Made Community Wiki by Carlo Beenakker |