Timeline for Did Grothendieck have a plan for proving Riemann Existence algebraically?
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 4, 2022 at 22:41 | comment | added | Compacto | I think it's not correct to say that Grothendieck's vision "did not come to fruition", given that Deligne's proof is essentially based in étale cohomology and other ideas exposed by Groth in SGA 4 and 5. One thing is the main strategy to prove them (étale cohomology, envisioned by Groth) and another thing is the specific argument of proof (which Grothendieck expected to be motive theory/standard conjectures), which in the end was a great idea of Deligne which did not use standard conjectures. | |
| Nov 16, 2011 at 0:00 | vote | accept | James D. Taylor | ||
| Nov 13, 2011 at 17:35 | history | edited | Joël | CC BY-SA 3.0 |
added 652 characters in body
|
| Nov 13, 2011 at 16:57 | comment | added | James D. Taylor | No, Grothendieck's vision definitely did not come to fruition. When Grothendieck thought about this he envisioned the proof as going through the category of motives, and specifically through the standard conjectures (some of which remain open to this day). | |
| Nov 13, 2011 at 16:51 | comment | added | user9072 | Nice answer. A bit of a tangential question: did up to know the idea for the Weil conjectures work out? It is my vague understanding that at least in certain aspects Deligne's proof actually is different. | |
| Nov 13, 2011 at 16:39 | history | answered | Joël | CC BY-SA 3.0 |