Difference between revisions of "Timeline"

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|  
 
|  
 
| Gowers: [http://gowers.wordpress.com/2009/02/08/dhj-quasirandomness-and-obstructions-to-uniformity/ Quasirandomness and obstructions to uniformity] (400-499)
 
| Gowers: [http://gowers.wordpress.com/2009/02/08/dhj-quasirandomness-and-obstructions-to-uniformity/ Quasirandomness and obstructions to uniformity] (400-499)
 +
 +
[http://gowers.wordpress.com/2009/02/08/dhj-quasirandomness-and-obstructions-to-uniformity/#comment-2001 Tao.402] Standard obstruction to uniformity?
 +
 +
[http://gowers.wordpress.com/2009/02/08/dhj-quasirandomness-and-obstructions-to-uniformity/#comment-2002 Gowers.403] Complexity 1 sets are more fundamental obstructions
 +
 +
[http://gowers.wordpress.com/2009/02/08/dhj-quasirandomness-and-obstructions-to-uniformity/#comment-2019 Gowers.411] Are global complexity 1 sets the only obstructions?
 +
 
|  
 
|  
 
| [http://terrytao.wordpress.com/2009/02/05/upper-and-lower-bounds-for-the-density-hales-jewett-problem/#comment-35597 Peake.219] <math>c_{99} \geq 3^{98}</math>
 
| [http://terrytao.wordpress.com/2009/02/05/upper-and-lower-bounds-for-the-density-hales-jewett-problem/#comment-35597 Peake.219] <math>c_{99} \geq 3^{98}</math>
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| Feb 9
 
| Feb 9
 
| Nielsen: [http://michaelnielsen.org/blog/?p=555 Update on the polymath project]
 
| Nielsen: [http://michaelnielsen.org/blog/?p=555 Update on the polymath project]
| C
+
| [http://gowers.wordpress.com/2009/02/08/dhj-quasirandomness-and-obstructions-to-uniformity/#comment-2029 Bukh.412] Negative answer to Gowers' question
| D
+
 
 +
[http://gowers.wordpress.com/2009/02/06/dhj-the-triangle-removal-approach/#comment-2047 Gowers.365] Equal slices measure introduced
 +
 
 +
[http://gowers.wordpress.com/2009/02/08/dhj-quasirandomness-and-obstructions-to-uniformity/#comment-2056 Tao.419]  Use low-influence instead of complexity 1?
 +
 
 +
[http://gowers.wordpress.com/2009/02/08/dhj-quasirandomness-and-obstructions-to-uniformity/#comment-2057 Gowers.420] Need DHJ(0,2)
 +
 
 +
[http://gowers.wordpress.com/2009/02/08/dhj-quasirandomness-and-obstructions-to-uniformity/#comment-2072 Tao.431] Use local obstructions rather than global obstructions?
 +
 
 +
|  
 
| [http://terrytao.wordpress.com/2009/02/05/upper-and-lower-bounds-for-the-density-hales-jewett-problem/#comment-35631 Kalai.233] Higher k?
 
| [http://terrytao.wordpress.com/2009/02/05/upper-and-lower-bounds-for-the-density-hales-jewett-problem/#comment-35631 Kalai.233] Higher k?
 
|-
 
|-
 
| Feb 10
 
| Feb 10
| B
+
|  
| C
+
| [http://gowers.wordpress.com/2009/02/08/dhj-quasirandomness-and-obstructions-to-uniformity/#comment-2086 Tao.439] Use hypergraph regularity?
| D
+
|  
 
| [http://terrytao.wordpress.com/2009/02/05/upper-and-lower-bounds-for-the-density-hales-jewett-problem/#comment-35662 Peake.241] <math>c_5 \leq 155</math>; xyz notation
 
| [http://terrytao.wordpress.com/2009/02/05/upper-and-lower-bounds-for-the-density-hales-jewett-problem/#comment-35662 Peake.241] <math>c_5 \leq 155</math>; xyz notation
  
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|-
 
|-
 
| Feb 11
 
| Feb 11
| B
+
| [http://docs.google.com/Doc?id=dhs78pth_15dfw8jhz4 Tao.470]: Proto-wiki created
| C
+
| [http://gowers.wordpress.com/2009/02/08/dhj-quasirandomness-and-obstructions-to-uniformity/#comment-2086 Tao.451] 01-insensitive case OK
| Tao: [http://terrytao.wordpress.com/2009/02/11/a-reading-seminar-on-density-hales-jewett/ A reading seminar on DHJ] (600-699)
+
 
 +
[http://gowers.wordpress.com/2009/02/08/dhj-quasirandomness-and-obstructions-to-uniformity/#comment-2114 Kalai.455] Hyper-optimistic conjecture
 +
 
 +
| [http://gowers.wordpress.com/2009/02/08/dhj-quasirandomness-and-obstructions-to-uniformity/#comment-2120 Tao.460] Connections with ergodic approach
 +
 
 +
Tao: [http://terrytao.wordpress.com/2009/02/11/a-reading-seminar-on-density-hales-jewett/ A reading seminar on DHJ] (600-699)
 
| [http://terrytao.wordpress.com/2009/02/05/upper-and-lower-bounds-for-the-density-hales-jewett-problem/#comment-35691 Tao.249]: <math>\overline{c}^\mu_0 = 1</math>, <math>\overline{c}^\mu_1 = 2</math>, <math>\overline{c}^\mu_2 = 4</math>
 
| [http://terrytao.wordpress.com/2009/02/05/upper-and-lower-bounds-for-the-density-hales-jewett-problem/#comment-35691 Tao.249]: <math>\overline{c}^\mu_0 = 1</math>, <math>\overline{c}^\mu_1 = 2</math>, <math>\overline{c}^\mu_2 = 4</math>
  
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| Feb 12
 
| Feb 12
 
| [http://michaelnielsen.org/polymath1/index.php?title=Main_Page Wiki set up]
 
| [http://michaelnielsen.org/polymath1/index.php?title=Main_Page Wiki set up]
| C
+
| [http://gowers.wordpress.com/2009/02/08/dhj-quasirandomness-and-obstructions-to-uniformity/#comment-2143 O'Donnell.476] Fourier-analytic Sperner computations
 +
 
 +
[http://gowers.wordpress.com/2009/02/08/dhj-quasirandomness-and-obstructions-to-uniformity/#comment-2149 McCutcheon.480] Strong Roth theorem proposed
 +
 
 
| D
 
| D
 
| [http://terrytao.wordpress.com/2009/02/05/upper-and-lower-bounds-for-the-density-hales-jewett-problem/#comment-35728 Jakobsen.257] <math>\overline{c}^\mu_4 = 9</math>
 
| [http://terrytao.wordpress.com/2009/02/05/upper-and-lower-bounds-for-the-density-hales-jewett-problem/#comment-35728 Jakobsen.257] <math>\overline{c}^\mu_4 = 9</math>
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|-
 
|-
 
| Feb 13
 
| Feb 13
| B
+
|  
 
| Gowers: [http://gowers.wordpress.com/2009/02/13/dhj-possible-proof-strategies/#more-441/ Possible proof strategies] (500-599)
 
| Gowers: [http://gowers.wordpress.com/2009/02/13/dhj-possible-proof-strategies/#more-441/ Possible proof strategies] (500-599)
|
+
| [http://gowers.wordpress.com/2009/02/13/dhj-possible-proof-strategies/#comment-2179 McCutcheon.505] IP uniformity norms?
 
| Tao: [http://terrytao.wordpress.com/2009/02/13/bounds-for-the-first-few-density-hales-jewett-numbers-and-related-quantities/ Bounds for first few DHJ numbers] (700-799)
 
| Tao: [http://terrytao.wordpress.com/2009/02/13/bounds-for-the-first-few-density-hales-jewett-numbers-and-related-quantities/ Bounds for first few DHJ numbers] (700-799)
 
|-
 
|-
 
| Feb 14
 
| Feb 14
| B
+
|  
| C
+
| [http://gowers.wordpress.com/2009/02/08/dhj-quasirandomness-and-obstructions-to-uniformity/#comment-2183 Gowers.496]: Equal slices implies uniform
| D
+
| [http://gowers.wordpress.com/2009/02/13/dhj-possible-proof-strategies/#comment-2185 McCutcheon.508] Ergodic proof strategy
 +
 
 +
[http://gowers.wordpress.com/2009/02/13/dhj-possible-proof-strategies/#comment-2188 Tao.510] Finitary analogue of stationarity
 
| Sauvaget: [http://thomas1111.wordpress.com/2009/02/14/a-proof-that-c_5154/ A proof that <math>c_5=154</math>?]
 
| Sauvaget: [http://thomas1111.wordpress.com/2009/02/14/a-proof-that-c_5154/ A proof that <math>c_5=154</math>?]
 
|-
 
|-
 
| Feb 15
 
| Feb 15
| B
+
|  
| C
+
| [http://gowers.wordpress.com/2009/02/08/dhj-quasirandomness-and-obstructions-to-uniformity/#comment-2195 Tao.498]: Uniform implies equal slices
 +
 
 +
[http://gowers.wordpress.com/2009/02/13/dhj-possible-proof-strategies/#comment-2196 Tao.514] DHJ(2.6) proposed
 +
 
 +
[http://gowers.wordpress.com/2009/02/13/dhj-possible-proof-strategies/#comment-2206 McCutcheon.518] Ramsey proof of DHJ(2.6)
 
| D
 
| D
 
| Sauvaget: [http://thomas1111.wordpress.com/2009/02/15/a-new-strategy-for-computing-c_n/ A new strategy for computing <math>c_n</math>]
 
| Sauvaget: [http://thomas1111.wordpress.com/2009/02/15/a-new-strategy-for-computing-c_n/ A new strategy for computing <math>c_n</math>]
 +
 +
[http://terrytao.wordpress.com/2009/02/13/bounds-for-the-first-few-density-hales-jewett-numbers-and-related-quantities/#comment-35853 Markström.706]: Integer program, <math>c_5=150</math>
 +
 +
[http://terrytao.wordpress.com/2009/02/13/bounds-for-the-first-few-density-hales-jewett-numbers-and-related-quantities/#comment-35865 Cantwell.708]: <math>c_6=450</math>
 +
 
|-
 
|-
 
| Feb 16
 
| Feb 16
| B
 
| C
 
| D
 
 
|  
 
|  
 +
| [http://gowers.wordpress.com/2009/02/13/dhj-possible-proof-strategies/#comment-2214 Tao.524] Simplification of proof
 +
 +
[http://gowers.wordpress.com/2009/02/13/dhj-possible-proof-strategies/#comment-2222 O'Donnell 529] Ramsey-free proof of DHJ(2.6)?
 +
 +
[http://gowers.wordpress.com/2009/02/13/dhj-possible-proof-strategies/#comment-2228 McCutcheon.533] Ramsey theory incompatible with symmetry
 +
| D
 +
| [http://terrytao.wordpress.com/2009/02/13/bounds-for-the-first-few-density-hales-jewett-numbers-and-related-quantities/#comment-35926 Peake.730] <math>c_5</math> extremisers
 +
 +
[http://terrytao.wordpress.com/2009/02/13/bounds-for-the-first-few-density-hales-jewett-numbers-and-related-quantities/#comment-35927 Tao.731] Human proof that <math>c_5 \leq 152</math>; <math>c_7 \leq 1348</math>
 
|-
 
|-
 
| Feb 17
 
| Feb 17
| B
+
|  
| C
+
| [http://gowers.wordpress.com/2009/02/13/dhj-possible-proof-strategies/#comment-2234 Tao.536] Fourier-analytic proof of DHJ(2.6)
 +
 
 +
[http://gowers.wordpress.com/2009/02/13/dhj-possible-proof-strategies/#comment-2242 McCutcheon.541] "Cave-man" proof of DHJ(2.6)
 
| D
 
| D
| E
+
| [http://terrytao.wordpress.com/2009/02/13/bounds-for-the-first-few-density-hales-jewett-numbers-and-related-quantities/#comment-35945 Chua.736] <math>c'_5 \geq 124</math>
 +
 
 +
[http://terrytao.wordpress.com/2009/02/13/bounds-for-the-first-few-density-hales-jewett-numbers-and-related-quantities/#comment-35951 Peake.738] Connection between Moser(3) and sphere packing
 +
 
 
|-
 
|-
 
| Feb 18
 
| Feb 18
| B
+
|  
| C
+
| [http://gowers.wordpress.com/2009/02/13/dhj-possible-proof-strategies/#comment-2255 Gowers.544] Corners(1,3)?
 +
 
 +
[http://gowers.wordpress.com/2009/02/13/dhj-possible-proof-strategies/#comment-2260 Gowers.545] Fourier computations on equal-slices measure begin
 +
 
 
| D
 
| D
| E
+
| [http://terrytao.wordpress.com/2009/02/13/bounds-for-the-first-few-density-hales-jewett-numbers-and-related-quantities/#comment-35963 Markström.739] <math>c_6</math> extremiser unique
 
|-
 
|-
 
| Feb 19
 
| Feb 19
| B
+
|  
 
| C
 
| C
 
| D
 
| D
| E
+
| [http://terrytao.wordpress.com/2009/02/13/bounds-for-the-first-few-density-hales-jewett-numbers-and-related-quantities/#comment-36011 Markström.742] 43-point Moser sets in <math>[3]^4</math> listed
 +
 
 +
[http://terrytao.wordpress.com/2009/02/13/bounds-for-the-first-few-density-hales-jewett-numbers-and-related-quantities/#comment-36017 Peake.743] 43-point sets analysed
 +
 
 +
[http://terrytao.wordpress.com/2009/02/13/bounds-for-the-first-few-density-hales-jewett-numbers-and-related-quantities/#comment-36018 Cantwell.744] <math>c'_5 \leq 128</math>
 +
 
 +
[http://terrytao.wordpress.com/2009/02/13/bounds-for-the-first-few-density-hales-jewett-numbers-and-related-quantities/#comment-36024 Tao.745] 50+ point line-free sets in <math>[3]^4</math> listed
 +
 
 
|-
 
|-
 
| Feb 20
 
| Feb 20
| B
+
| Vipulniak: [http://whatisresearch.wordpress.com/2009/02/20/a-quick-review-of-the-polymath-project/]
| C
+
| [http://gowers.wordpress.com/2009/02/13/dhj-possible-proof-strategies/#comment-2296 Solymosi.563] Moser(6) implies DHJ(3)
 
| D
 
| D
| E
+
| [http://terrytao.wordpress.com/2009/02/13/bounds-for-the-first-few-density-hales-jewett-numbers-and-related-quantities/#comment-36031 Markström.747] 42-point Moser sets listed
 +
 
 +
[http://terrytao.wordpress.com/2009/02/13/bounds-for-the-first-few-density-hales-jewett-numbers-and-related-quantities/#comment-36045 Peake.751] Human proof of <math>c_5 \leq 151</math>
 +
 
 
|-
 
|-
 
| Feb 21
 
| Feb 21
 
| Gowers: [http://gowers.wordpress.com/2009/02/21/to-thread-or-not-to-thread/ To thread or not to thread]
 
| Gowers: [http://gowers.wordpress.com/2009/02/21/to-thread-or-not-to-thread/ To thread or not to thread]
| C
+
| [http://gowers.wordpress.com/2009/02/13/dhj-possible-proof-strategies/#comment-2327 Gowers.580] Extreme localisation + density increment = DHJ(3)?
| D
+
 
| E
+
[http://gowers.wordpress.com/2009/02/13/dhj-possible-proof-strategies/#comment-2329 Gowers.581] Multidimensional Sperner
 +
 
 +
| [http://gowers.wordpress.com/2009/02/13/dhj-possible-proof-strategies/#comment-2321 Tao.578] Finitary ergodic proof of DHJ(2) proposed
 +
 
 +
| [http://terrytao.wordpress.com/2009/02/13/bounds-for-the-first-few-density-hales-jewett-numbers-and-related-quantities/#comment-36051 Peake.752] Human proof of <math>c_5=150</math>, <math>c_6=450</math>
 +
 
 +
[http://terrytao.wordpress.com/2009/02/13/bounds-for-the-first-few-density-hales-jewett-numbers-and-related-quantities/#comment-36059 Tao.753] Sequences submitted to OEIS
 
|-
 
|-
 
| Feb 22
 
| Feb 22
| B
+
|  
 
| C
 
| C
 
| D
 
| D
| E
+
|  
 
|-
 
|-
 
| Feb 23
 
| Feb 23
 
| B
 
| B
| Gowers: [http://gowers.wordpress.com/2009/02/23/brief-review-of-polymath1/ Brief review of polymath1] (800-849)
+
| [http://gowers.wordpress.com/2009/02/13/dhj-possible-proof-strategies/#comment-2356 McCutcheon.593] DHJ(2.7)
 +
 
 +
[http://gowers.wordpress.com/2009/02/13/dhj-possible-proof-strategies/#comment-2370 O'Donnell.596] Fourier-analytic proof of DHJ(2)
 +
 
 +
Gowers: [http://gowers.wordpress.com/2009/02/23/brief-review-of-polymath1/ Brief review of polymath1] (800-849)
 
| D
 
| D
| E
+
| [http://terrytao.wordpress.com/2009/02/13/bounds-for-the-first-few-density-hales-jewett-numbers-and-related-quantities/#comment-36112 Markström.463] 42-point Moser sets analysed
 +
 
 +
[http://terrytao.wordpress.com/2009/02/13/bounds-for-the-first-few-density-hales-jewett-numbers-and-related-quantities/#comment-36115 Tao.464] <math>c'_5 \leq 127</math>
 +
 
 +
[http://terrytao.wordpress.com/2009/02/13/bounds-for-the-first-few-density-hales-jewett-numbers-and-related-quantities/#comment-36126 Chua.766] 3D Moser sets with 222 have <math> \leq 13</math> points
 +
 
 +
[http://terrytao.wordpress.com/2009/02/13/bounds-for-the-first-few-density-hales-jewett-numbers-and-related-quantities/#comment-36127 Tao.767] 4D Moser sets with 2222 have <math> \leq 39</math> points
 
|-
 
|-
 
| Feb 24
 
| Feb 24
| B
+
|  
 
| C
 
| C
 
| D
 
| D
| E
+
|  
 
|-
 
|-
 
| Feb 25
 
| Feb 25
| B
+
|  
 
| C
 
| C
 
| D
 
| D
| E
+
| [http://terrytao.wordpress.com/2009/02/13/bounds-for-the-first-few-density-hales-jewett-numbers-and-related-quantities/#comment-36157 Cantwell.769] 5D Moser sets with 2222* have <math> \leq 124</math> points
 +
 
 +
[http://terrytao.wordpress.com/2009/02/13/bounds-for-the-first-few-density-hales-jewett-numbers-and-related-quantities/#comment-36165 Peake.771] Exotic 43-point Moser sets described
 
|-
 
|-
 
| Feb 26
 
| Feb 26
| B
+
|  
 
| C
 
| C
 
| D
 
| D
| E
+
|  
 
|-
 
|-
 
| Feb 27
 
| Feb 27
| B
+
|  
 
| C
 
| C
 
| D
 
| D
| E
+
| [http://terrytao.wordpress.com/2009/02/13/bounds-for-the-first-few-density-hales-jewett-numbers-and-related-quantities/#comment-36188 Elsholtz.775] Human proof of 2222* result
 +
 
 +
[http://terrytao.wordpress.com/2009/02/13/bounds-for-the-first-few-density-hales-jewett-numbers-and-related-quantities/#comment-36195 Cantwell.776] <math>c'_5 \leq 126</math>
 
|-
 
|-
 
| Feb 28
 
| Feb 28
| B
+
|  
 
| C
 
| C
 
| D
 
| D
| E
+
| [http://terrytao.wordpress.com/2009/02/13/bounds-for-the-first-few-density-hales-jewett-numbers-and-related-quantities/#comment-36216 Markström.779] 41-point Moser sets listed
 
|-
 
|-
 
| Mar 1
 
| Mar 1
| B
+
|  
 
| C
 
| C
 
| D
 
| D
| E
+
| [http://terrytao.wordpress.com/2009/02/13/bounds-for-the-first-few-density-hales-jewett-numbers-and-related-quantities/#comment-36246 Cantwell.782], [http://terrytao.wordpress.com/2009/02/13/bounds-for-the-first-few-density-hales-jewett-numbers-and-related-quantities/#comment-36250 Peake.784]: <math>c'_5 \leq 125</math>
 
|-
 
|-
 
| Mar 2
 
| Mar 2
| B
+
|  
 
| Gowers: [http://gowers.wordpress.com/2009/03/02/dhj3-851-899/ DHJ 851-899]
 
| Gowers: [http://gowers.wordpress.com/2009/03/02/dhj3-851-899/ DHJ 851-899]
 
| D
 
| D
| E
+
|  
 
+
 
|}
 
|}

Revision as of 21:32, 1 March 2009

Date General Uniformity Ergodic theory Small n
Jan 26 Nielsen: Doing science online
Jan 27 Gowers: Is massively collaborative mathematics possible?
Jan 28 Kalai: Mathematics, science, and blogs
Jan 30 Gowers: Background to a polymath project

Nielsen: Is massively collaborative mathematics possible?

Feb 1 Gowers: Questions of procedure

Gowers: A combinatorial approach to DHJ (1-199)

Gowers: Why this particular problem?

Tao: A massively collaborative mathematical project

Trevisan: A people's history of mathematics

Solymosi.2: IP-corners problem proposed

Tao.4: Analytic proof of Sperner? Regularisation needed?

Hoang.4: Naive Varnavides for DHJ fails

Gowers.1: Carlson-Simpson theorem useful?

Tao.4: Stationarity useful?

Feb 2 Gowers.9: Reweighting vertices needed for Varnavides?

Tao.17: Should use [math]O(\sqrt{n})[/math] wildcards

Tao.18: Use rich slices?

Gowers.19: Collect obstructions to uniformity!

Kalai.29: Fourier-analytic proof of Sperner?

O'Donnell.32: Use uniform distribution on slices

Gowers.38: Can't fix # wildcards in advance

Tao.39: Can take # wildcards to be O(1)

Bukh.44: Obstructions to Kruskal-Katona?

Tao.8: [math]c_0=1[/math], [math]c_1=2[/math], [math]c_2=6[/math], [math]3^{n-O(\sqrt{n}} \leq c_n \leq o(3^n)[/math]

Kalai.15: [math]c_n \gg 3^n/\sqrt{n}[/math]

Tao.39: [math]c_n \geq 3^{n-O(\sqrt{\log n})}[/math]

Tao.40: [math]c_3=18[/math]

Elsholtz.43: Moser(3)?

Feb 3 Nielsen: The polymath project Gowers.64: Use local equal-slices measure?

Gowers.70: Collection of obstructions to uniformity begins

Tao.86: Use Szemeredi's proof of Roth?

Jakobsen.59: [math]c_4 \geq 49[/math]

Tao.78: [math]c_4 \leq 54[/math]

Neylon.83: [math]52 \leq c_4 \leq 54[/math], [math]140 \leq c_5 \leq 162[/math]

Feb 4 Gowers: Quick question Tao.100: Use density incrementation?

Tao.118: Szemeredi's proof of Roth looks inapplicable

Jakobsen.90: [math]c_4=52[/math]
Feb 5 Tao.130: DHJ(2.5)?

Bukh.132, O'Donnell.133, Solymosi.135: Proof of DHJ(2.5)

Tao.148: Obstructions to uniformity summarised

Tao: Upper and lower bounds for DHJ (200-299)
Feb 6 Solymosi.155 Pair removal for Kneser graphs

Gowers: The triangle removal approach (300-399)

Neylon.201 Greedy algorithm

Tao.206 Use [math]D_n[/math]

Feb 7 Gowers.335 DHJ(j,k) introduced Jakobsen.207 [math]c_5 \geq 150[/math], [math]c_6 \geq 450[/math]

Peake.217 [math]c_7 \geq 1308[/math], [math]c_8 \geq 3780[/math]

Peake.218 Lower bounds up to [math]c_{15}[/math]

Feb 8 Gowers: Quasirandomness and obstructions to uniformity (400-499)

Tao.402 Standard obstruction to uniformity?

Gowers.403 Complexity 1 sets are more fundamental obstructions

Gowers.411 Are global complexity 1 sets the only obstructions?

Peake.219 [math]c_{99} \geq 3^{98}[/math]

Tao.225 Spreadsheet set up

Feb 9 Nielsen: Update on the polymath project Bukh.412 Negative answer to Gowers' question

Gowers.365 Equal slices measure introduced

Tao.419 Use low-influence instead of complexity 1?

Gowers.420 Need DHJ(0,2)

Tao.431 Use local obstructions rather than global obstructions?

Kalai.233 Higher k?
Feb 10 Tao.439 Use hypergraph regularity? Peake.241 [math]c_5 \leq 155[/math]; xyz notation

Peake.243 [math]c_5 \leq 154[/math]

Feb 11 Tao.470: Proto-wiki created Tao.451 01-insensitive case OK

Kalai.455 Hyper-optimistic conjecture

Tao.460 Connections with ergodic approach

Tao: A reading seminar on DHJ (600-699)

Tao.249: [math]\overline{c}^\mu_0 = 1[/math], [math]\overline{c}^\mu_1 = 2[/math], [math]\overline{c}^\mu_2 = 4[/math]

Dyer.254 [math]\overline{c}^\mu_3 = 6[/math]

Feb 12 Wiki set up O'Donnell.476 Fourier-analytic Sperner computations

McCutcheon.480 Strong Roth theorem proposed

D Jakobsen.257 [math]\overline{c}^\mu_4 = 9[/math]

Jakobsen.258 [math]\overline{c}^\mu_5 = 12[/math]

Peake.262 Extremisers for [math]c_4[/math]

Feb 13 Gowers: Possible proof strategies (500-599) McCutcheon.505 IP uniformity norms? Tao: Bounds for first few DHJ numbers (700-799)
Feb 14 Gowers.496: Equal slices implies uniform McCutcheon.508 Ergodic proof strategy

Tao.510 Finitary analogue of stationarity

Sauvaget: A proof that [math]c_5=154[/math]?
Feb 15 Tao.498: Uniform implies equal slices

Tao.514 DHJ(2.6) proposed

McCutcheon.518 Ramsey proof of DHJ(2.6)

D Sauvaget: A new strategy for computing [math]c_n[/math]

Markström.706: Integer program, [math]c_5=150[/math]

Cantwell.708: [math]c_6=450[/math]

Feb 16 Tao.524 Simplification of proof

O'Donnell 529 Ramsey-free proof of DHJ(2.6)?

McCutcheon.533 Ramsey theory incompatible with symmetry

D Peake.730 [math]c_5[/math] extremisers

Tao.731 Human proof that [math]c_5 \leq 152[/math]; [math]c_7 \leq 1348[/math]

Feb 17 Tao.536 Fourier-analytic proof of DHJ(2.6)

McCutcheon.541 "Cave-man" proof of DHJ(2.6)

D Chua.736 [math]c'_5 \geq 124[/math]

Peake.738 Connection between Moser(3) and sphere packing

Feb 18 Gowers.544 Corners(1,3)?

Gowers.545 Fourier computations on equal-slices measure begin

D Markström.739 [math]c_6[/math] extremiser unique
Feb 19 C D Markström.742 43-point Moser sets in [math][3]^4[/math] listed

Peake.743 43-point sets analysed

Cantwell.744 [math]c'_5 \leq 128[/math]

Tao.745 50+ point line-free sets in [math][3]^4[/math] listed

Feb 20 Vipulniak: [1] Solymosi.563 Moser(6) implies DHJ(3) D Markström.747 42-point Moser sets listed

Peake.751 Human proof of [math]c_5 \leq 151[/math]

Feb 21 Gowers: To thread or not to thread Gowers.580 Extreme localisation + density increment = DHJ(3)?

Gowers.581 Multidimensional Sperner

Tao.578 Finitary ergodic proof of DHJ(2) proposed Peake.752 Human proof of [math]c_5=150[/math], [math]c_6=450[/math]

Tao.753 Sequences submitted to OEIS

Feb 22 C D
Feb 23 B McCutcheon.593 DHJ(2.7)

O'Donnell.596 Fourier-analytic proof of DHJ(2)

Gowers: Brief review of polymath1 (800-849)

D Markström.463 42-point Moser sets analysed

Tao.464 [math]c'_5 \leq 127[/math]

Chua.766 3D Moser sets with 222 have [math] \leq 13[/math] points

Tao.767 4D Moser sets with 2222 have [math] \leq 39[/math] points

Feb 24 C D
Feb 25 C D Cantwell.769 5D Moser sets with 2222* have [math] \leq 124[/math] points

Peake.771 Exotic 43-point Moser sets described

Feb 26 C D
Feb 27 C D Elsholtz.775 Human proof of 2222* result

Cantwell.776 [math]c'_5 \leq 126[/math]

Feb 28 C D Markström.779 41-point Moser sets listed
Mar 1 C D Cantwell.782, Peake.784: [math]c'_5 \leq 125[/math]
Mar 2 Gowers: DHJ 851-899 D