Timeline for Have there been any updates on Mochizuki's proposed proof of the abc conjecture?
Current License: CC BY-SA 3.0
9 events
| when toggle format | what | by | license | comment | |
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| Apr 6, 2020 at 16:18 | history | made wiki | Post Made Community Wiki by Todd Trimble | ||
| Nov 23, 2018 at 0:45 | comment | added | Timothy Chow | @TKe : The short answer is yes. See mathoverflow.net/a/58890/3106 especially Silverman's comments. | |
| Dec 18, 2017 at 5:08 | comment | added | user19475 | Does an effective abc conjecture give an effective Mordell conjecture? | |
| Feb 28, 2016 at 23:17 | vote | accept | Ovi | ||
| Feb 26, 2016 at 17:18 | comment | added | Pace Nielsen | That has been my experience when making things effective as well. Of course, if Mochizuki's work does check out, I can imagine lots of people will be very interested in accomplishing that "daunting task"! | |
| Feb 26, 2016 at 5:39 | comment | added | nfdc23 | Thanks for clarifying the intent of #2. My understanding from discussing this stuff with Dimitrov is that making explicit the "effective" constants he gets is a daunting task, and that most likely such explicit constants will not be practical (i.e., not suitable for testing against examples). | |
| Feb 25, 2016 at 20:04 | comment | added | Pace Nielsen | @nfdc23 I think you misunderstood my comment. Regarding #2, since (at least in principle) Mochizuki's work is now effective, it may be possible to find counter-examples to some of his claims. Of course, one of the criticisms I've seen of the work is the lack of motivating examples, so this might just be a theoretical rather than practical consideration. | |
| Feb 25, 2016 at 15:47 | comment | added | nfdc23 | Dimitrov's paper treats Mochizuki's IUT ideas and results as a black box, replacing the appeal to a proof in one of Mochizuki's much earlier pre-IUT papers (reference [8] in Dimitrov's paper), so unfortunately it doesn't involve #1 or #2 (in terms of the core material which has not been disseminating; the material in [8] hasn't been related to the difficulties that have arisen). But it very much contributes in the direction of #3, which is of course a very good thing! | |
| Feb 25, 2016 at 15:34 | history | answered | Pace Nielsen | CC BY-SA 3.0 |