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# The polymath blog

## Massively collaborative mathematical projects

Last Build Date: Fri, 20 Apr 2018 07:00:18 +0000

Polymath proposal: finding simpler unit distance graphs of chromatic number 5ag24ag24

Tue, 10 Apr 2018 05:56:25 +0000

The Hadwiger-Nelson problem is that of determining the chromatic number of the plane (), defined as the minimum number of colours that can be assigned to the points of the plane so as to prevent any two points unit distance apart from being the same colour. It was first posed in 1950 and the bounds […]

A new polymath proposal (related to the Riemann Hypothesis) over Tao’s bloggilkalai{\Lambda}

Fri, 26 Jan 2018 07:17:33 +0000

(From a post “the music of the primes” by  Marcus du Sautoy.)   A new polymath proposal over Terry Tao’s blog who wrote: “Building on the interest expressed in the comments to this previous post, I am now formally proposing to initiate a “Polymath project” on the topic of obtaining new upper bounds on the de Bruijn-Newman constant . […]

Spontaneous Polymath 14 – A success!gilkalai

Fri, 26 Jan 2018 06:27:46 +0000

This post is to report an unplanned polymath project, now called polymath 14 that took place over Terry Tao’s blog. A problem was posed by Apoorva Khare was presented and discussed and openly and collectively solved. (And the paper arxived.)

Polymath 13 – a success!gilkalai

Tue, 22 Aug 2017 14:09:51 +0000

This post is to note that the polymath13 project has successfully settled one of the major objective. Reports on it can be found on Gower’s blog especially in this post Intransitive dice IV: first problem more or less solved? and this post Intransitive dice VI: sketch proof of the main conjecture for the balanced-sequences model.

Non-transitive Dice over Gowers’s Bloggilkalailge-non_transitive_dice_2

Mon, 15 May 2017 07:36:43 +0000

A polymath-style project on non transitive dice (Wikipedea) is now running over Gowers blog. (Here is the link to the first post.)

Rota’s Basis Conjecture: Polymath 12, post 3tchow8Mn^2EnB_1, \ldots, B_nnM'EM'r(X) \ge |X|/nX \subseteq ErM'CM\forall j: |C\cap B_j| \le 1M'n\times niB_iMM'\mathbb R^d

Fri, 05 May 2017 03:48:34 +0000

We haven’t quite hit the 100-comment mark on the second Polymath 12 blog post, but this seems like a good moment to take stock.  The project has lost some of its initial momentum, perhaps because other priorities have intruded into the lives of the main participants (I know that this is true of myself).  However, […]

Rota’s Basis Conjecture: Polymath 12tchow8

Mon, 06 Mar 2017 23:18:15 +0000

There has been enough interest that I think we can formally declare Rota’s Basis Conjecture to be Polymath 12. I am told that it is standard Polymath practice to start a new blog post whenever the number of comments reaches about 100, and we have reached that point, so that is one reason I am […]

Blog theme changedTerry

Tue, 28 Feb 2017 17:19:06 +0000

Update from Gil: I managed to retrieve rubric but the subtitle disappeared. As you may have noticed, the layout of this blog has changed.  I was trying to address a request by one of the commenters here to try to enable the links to recent comments to change colour if they were clicked on; unfortunately […]

Rota’s Basis Conjecture: Polymath 12?tchow8

Thu, 23 Feb 2017 23:44:33 +0000

This post tentatively kicks off Polymath 12 on Rota’s basis conjecture. I proposed Rota’s basis conjecture as a possible Polymath project on MathOverflow last year. If you have not read my proposal, I strongly recommend that you read it now, because in it, I sketched some reasons why I thought this would make a good […]

MO Polymath question: Summary of Proposalsgilkalaimo

Sat, 13 Aug 2016 19:23:37 +0000

Here are the Math Overflow Polymath proposals given in response to the polymath question, Summary of proposals (updated: August 10, 2016) 1) The LogRank conjecture. Proposed by Arul. 2) The circulant Hadamard matrix conjecture. Proposed by Richard Stanley. 3) Finding combinatorial models for the Kronecker coefficients. Proposed by Per Alexandersson. 4) Eight lonely runners. Proposed […]