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Recent Posts
 Updates (belated) Between New Haven, Jerusalem, and TelAviv
 Oded Goldreich Fest
 The Race to Quantum Technologies and Quantum Computers (Useful Links)
 Around the GarsiaStanley’s Partitioning Conjecture
 My Answer to TYI 28
 Test your intuition 28: What is the most striking common feature to all these remarkable individuals
 R(5,5) ≤ 48
 Test Your Intuition (27) about the AlonTarsi Conjecture
 Thilo Weinert: Transfinite Ramsey Numbers
Top Posts & Pages
 Answer: Lord Kelvin, The Age of the Earth, and the Age of the Sun
 Borsuk's Conjecture
 The Race to Quantum Technologies and Quantum Computers (Useful Links)
 Polymath10: The Erdos Rado Delta System Conjecture
 In how many ways you can chose a committee of three students from a class of ten students?
 Believing that the Earth is Round When it Matters
 Is Mathematics a Science?
 Symplectic Geometry, Quantization, and Quantum Noise
 Can Category Theory Serve as the Foundation of Mathematics?
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Category Archives: Combinatorics
Jirka
The Mathematics of Jiří Matoušek is a conference taking place this week at Prague in memory of Jirka Matoušek. Here are the slides of my planned talk on Maestro Jirka Matoušek. This post presents the opening slides for the conference … Continue reading
Posted in Combinatorics, Computer Science and Optimization, Conferences, Geometry, Obituary
Tagged Jirka Matoušek
4 Comments
AviFest, AviStories and Amazing Cash Prizes.
Ladies and gentlemen, a workshop in Princeton in honor of Avi Wigderson’s 60th birthday is coming on October. It will take place at Princeton on October 58 2016 right before FOCS 2016. Don’t miss the event ! Attendance is free but … Continue reading
Posted in Combinatorics, Computer Science and Optimization, Conferences, Updates
Tagged Avi Wigderson
1 Comment
Polymath 10 post 6: The ErdosRado sunflower conjecture, and the Turan (4,3) problem: homological approaches.
In earlier posts I proposed a homological approach to the ErdosRado sunflower conjecture. I will describe again this approach in the second part of this post. Of course, discussion of other avenues for the study of the conjecture are welcome. The purpose … Continue reading
Polymath 10 Emergency Post 5: The ErdosSzemeredi Sunflower Conjecture is Now Proven.
While slowly writing Post 5 (now planned to be Post 6) of our polymath10 project on the ErdosRado sunflower conjecture, the very recent proof (see this post) that cap sets have exponentially small density has changed matters greatly! It implies … Continue reading
Mind Boggling: Following the work of Croot, Lev, and Pach, Jordan Ellenberg settled the cap set problem!
A quote from a recent post from Jordan Ellenberg‘s blog Quomodocumque: Briefly: it seems to me that the idea of the CrootLevPach paper I posted about yesterday (GK: see also my last post) can indeed be used to give a new bound … Continue reading
Posted in Combinatorics, Open problems, Updates
Tagged Cap sets, Dion Gijswijt, Ernie Croot, Jordan Ellenberg, Peter Pach, Seva Lev.
19 Comments
More Math from Facebook
David Conlon pointed out to two remarkable papers that appeared on the arxive: Joel Moreira solves an old problem in Ramsey’s theory. Monochromatic sums and products in . Abstract: An old question in Ramsey theory asks whether any finite coloring … Continue reading
Posted in Combinatorics, Mathematics over the Internet, Updates
Tagged Ernie Croot, Joel Moreira, Peter Pach, Vsevolod Lev
3 Comments
The Erdős Szekeres polygon problem – Solved asymptotically by Andrew Suk.
Here is the abstract of a recent paper by Andrew Suk. (I heard about it from a Facebook post by Yufei Zhao. I added a link to the original Erdős Szekeres’s paper.) Let ES(n) be the smallest integer such that … Continue reading
The Quantum Computer Puzzle @ Notices of the AMS
The Quantum Computer Puzzle My paper “the quantum computer puzzle” has just appeared in the May 2016 issue of Notices of the AMS. Here are the beautiful drawings for the paper (representing the “optimistic view” and the “pessimistic view”) by my … Continue reading
Three Conferences: Joel Spencer, April 2930, Courant; Joel Hass May 2022, Berkeley, Jean Bourgain May 2124, IAS, Princeton
Dear all, I would like to advertise three promisingtobe wonderful mathematical conferences in the very near future. Quick TYI. See if you can guess the title and speaker for a lecture described by “where the mathematics of Cauchy, Fourier, Sobolev, … Continue reading
Posted in Analysis, Combinatorics, Conferences, Geometry, Updates
Tagged Jean Bourgain, Joel Hass, Joel Spencer
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TYI 26: Attaining the Maximum
(Thanks, Dani!) Given a random sequence , ******, , let . and assume that . What is the probability that the maximum value of is attained only for a single value of ? Test your intuition: is this probability bounded … Continue reading