As suggested in another post, sooner or later we will form a strong raw database of open problems with their approaches and updates. Then the OpenGarden and OpenProblems projects will serve as a formal presentation of open problems.This is in the spirit of Polymath.
Because this question is recurring, here are some reasons on why the SE format will assist:
- There are already many questions of this form in MO eg. "ABC conjectures updates?". In these questions there is no "one right answer" but many of them. It will be the SE version of OpenGarden, where we clarify research problems and propose approaches. However, to allow for feasibility, we must encourage that the problem is a subpart of a larger problem. Of course, it would be interesting if we can create a tree structure for such posts in how they are linked (eg. having users link the parent posts), but that might be outside the capabilities of MO at the moment.
- It follows the spirit of Polymath where we debate various approaches to a particular research problem. Each answer will be devoted to some suggested approach.
- The post itself will be wiki-edited to include the most recent updates on that problem.
The proposal was closed in Area51 because it was seen as too close to MO and mathSE. Here are some ideas in incorporating that as part of MO:
Creating a separate tag that will be monitored for following some simple rules:
- Each post will contain only one research problem.
- The post will contain some bibliography contextualizing the problem
- Some recent updates on the problem
To avoid crowding the answerable MO posts, maybe we can prevent such posts from appearing at the front page.
The answerable MO posts under the tag "open problems" will distract from the database questions. For example, there will be no questions of the form "open problems in random graphs" or "dissertations that solved an open problem". I think each post should be devoted to one open problem only.
At the left-hand side of the front page of MO there are the tabs "Home,Questions, Tags, Users, Unaswered". So the idea is to create a tab for "Open problems database" that will contain all such posts (eg. the ones with the above tag).
This will also help bring attention to this database and spur its growth.
Any comments or feedback will be appreciated.