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 Some News from a Seminar in Cambridge
 Subspace Designs, Unit and Distinct Distances, and Piercing Standard Boxes.
 Greg Kuperberg @ Tel Aviv University
 Israel AGT Day, Reichman University, March 5, 2023
 Alef’s Corner: Democracy (Israel, 2023)
 Absolutely Sensational Morning News – Zander Kelley and Raghu Meka proved Behrendtype bounds for 3APs
 The Trifference Problem
 Greatest Hits 20152022, Part II
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 Some News from a Seminar in Cambridge
 Absolutely Sensational Morning News  Zander Kelley and Raghu Meka proved Behrendtype bounds for 3APs
 Greg Kuperberg @ Tel Aviv University
 Quantum Computers: A Brief Assessment of Progress in the Past Decade
 To cheer you up in difficult times 7: Bloom and Sisask just broke the logarithm barrier for Roth's theorem!
 'Gina Says'
 R(5,5) ≤ 48
 Answer: Lord Kelvin, The Age of the Earth, and the Age of the Sun
 Yael Tauman Kalai's ICM2018 Paper, My Paper, and Cryptography
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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