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 To cheer you up in difficult times 6: Play Rani Sharim’s twoplayer games of life, read Maya BarHillel presentation on catching lies with statistics, and more.
 To cheer you up in difficult times 5: A New Elementary Proof of the Prime Number Theorem by Florian K. Richter
 To cheer you up in difficult times 4: Women In Theory present — I will survive
 To cheer you up in difficult times 3: A guest post by Noam Lifshitz on the new hypercontractivity inequality of Peter Keevash, Noam Lifshitz, Eoin Long and Dor Minzer
 Harsanyi’s Sweater
 To cheer you up in difficult times II: Mysterious matching news by Gal Beniamini, Naom Nisan, Vijay Vazirani and Thorben Tröbst!
 Trees not Cubes! Memories of Boris Tsirelson
 A small update from Israel and memories from Singapore: Partha Dasgupta, Robin Mason, Frank Ramsey, and 007
 Game Theory – online Course at IDC, Herzliya
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 'Gina Says'
 8866128975287528³+(8778405442862239)³+(2736111468807040)³
 The seventeen camels riddle, and Noga Alon's camel proof and algorithms
 Answer: Lord Kelvin, The Age of the Earth, and the Age of the Sun
 Dan Romik on the Riemann zeta function
 Game Theory 2020
 TYI 30: Expected number of Dice throws
 News on Fractional Helly, Colorful Helly, and Radon
 Scott Triumphs* at the Shtetl
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Monthly Archives: February 2019
Dan Romik Studies the Riemann’s Zeta Function, and Other Zeta News.
Updates to previous posts: Karim Adiprasito expanded in a comment to his post on the gconjecture on how to move from vertexdecomposable spheres to general spheres. Some photos were added to the post: Three pictures. Dan Romik on the Zeta … Continue reading
Posted in Number theory, Updates
Tagged Brad Rodgers, Dan Romik, Don Zagier, Ken Ono, Larry Rolen, Michel Griffin, polymath15, Terry Tao, Zeta function
4 Comments
Karim Adiprasito: The gConjecture for Vertex Decomposible Spheres
J Scott Provan (site) The following post was kindly contributed by Karim Adiprasito. (Here is the link to Karim’s paper.) Update: See Karim’s comment on the needed ideas for extend the proof to the general case. See also in the … Continue reading
Posted in Combinatorics, Convex polytopes, Geometry, Guest blogger
Tagged gconjecture, J Scott Provan, Karim Adiprasito, Leonid Gurvits, Lou Billera
9 Comments
Attila Por’s Universality Result for Tverberg Partitions
In this post I would like to tell you about three papers and three theorems. I am thankful to Moshe White and Imre Barany for helpful discussions. a) Universality of vector sequences and universality of Tverberg partitions, by Attila Por; Theorem … Continue reading
Henry Cohn, Abhinav Kumar, Stephen D. Miller, Danylo Radchenko, and Maryna Viazovska: Universal optimality of the E8 and Leech lattices and interpolation formulas
Henry Cohn A follow up paper on the tight bounds for sphere packings in eight and 24 dimensions. (Thanks, again, Steve, for letting me know.) For the 2016 breakthroughs see this post, this post of John Baez, this article by Erica Klarreich on … Continue reading
Extremal Combinatorics V: POSETS
This is the remaining post V on partially ordered sets of my series on extremal combinatorics (I,II,III,IV,VI). We will talk here about POSETS – partially ordered sets. The study of order is very important in many areas of mathematics starting … Continue reading
Konstantin Tikhomirov: The Probability that a Bernoulli Matrix is Singular
Konstantin Tikhomirov An old problem in combinatorial random matrix theory is cracked! Singularity of random Bernoulli matrices by Konstantin Tikhomirov Abstract: For each , let be an n×n random matrix with independent ±1 entries. We show that P( is singular}=, … Continue reading