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 A Nice Example Related to the Frankl Conjecture
 Amazing: Justin Gilmer gave a constant lower bound for the unionclosed sets conjecture
 Barnabás Janzer: Rotation inside convex Kakeya sets
 Inaugural address at the Hungarian Academy of Science: The Quantum Computer – A Miracle or Mirage
 Remarkable: “Limitations of Linear CrossEntropy as a Measure for Quantum Advantage,” by Xun Gao, Marcin Kalinowski, ChiNing Chou, Mikhail D. Lukin, Boaz Barak, and Soonwon Choi
 James Davies: Every finite colouring of the plane contains a monochromatic pair of points at an odd distance from each other.
 Bo’az Klartag and Joseph Lehec: The Slice Conjecture Up to Polylogarithmic Factor!
 Alef’s Corner: “It won’t work, sorry”
 Test Your intuition 51
Top Posts & Pages
 Amazing: Justin Gilmer gave a constant lower bound for the unionclosed sets conjecture
 A Nice Example Related to the Frankl Conjecture
 The Möbius Undershirt
 R(5,5) ≤ 48
 Amazing: Jinyoung Park and Huy Tuan Pham settled the expectation threshold conjecture!
 Remarkable: "Limitations of Linear CrossEntropy as a Measure for Quantum Advantage," by Xun Gao, Marcin Kalinowski, ChiNing Chou, Mikhail D. Lukin, Boaz Barak, and Soonwon Choi
 Gödel, Hilbert and Brouwer
 Why are Planar Graphs so Exceptional
 To cheer you up in difficult times 11: Immortal Songs by Sabine Hossenfelder and by Tom Lehrer
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Category Archives: Geometry
James Davies: Every finite colouring of the plane contains a monochromatic pair of points at an odd distance from each other.
Here is a lovely piece of news: the following paper by James Davies was posted on the arXive a few weeks ago. The paper uses spectral methods to settle an old question, posed in 1994, by Moshe Rosenfeld. (See this … Continue reading
Bo’az Klartag and Joseph Lehec: The Slice Conjecture Up to Polylogarithmic Factor!
Bo’az Klartag (right) and Joseph Lehec (left) In December 2020, we reported on Yuansi Chen breakthrough result on Bourgain’s alicing problem and the Kannan Lovasz Simonovits conjecture. It is a pleasure to report on a further fantastic progress on these … Continue reading
Posted in Analysis, Computer Science and Optimization, Convexity, Geometry, Probability
Tagged Bo'az Klartag, Joseph Lehec
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Test Your intuition 51
Suppose that and are two compact convex sets in space. Suppose that contains . Now consider two quantities is the average volume of a simplex forms by four points in drawn uniformly at random. is the average volume of a … Continue reading
Posted in Convexity, Geometry, Probability, Test your intuition
Tagged Test your intuition
12 Comments
Alexander A. Gaifullin: Many 27vertex Triangulations of Manifolds Like the Octonionic Projective Plane (Not Even One Was Known Before).
From top left clockwise: Alexander Gaifullin, Denis Gorodkov, Ulrich Brehm, Wolfgang Kühnel Here is the paper: Alexander A. Gaifullin: 634 vertextransitive and more than 10¹⁰³ nonvertextransitive 27vertex triangulations of manifolds like the octonionic projective plane Abstract with annotation: In … Continue reading
Posted in Combinatorics, Geometry
Tagged Alexander Gaifullin, Denis Gorodkov, Ulrich Brehm, Wolfgang Kühnel
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ICM 2022 awarding ceremonies (1)
Hugo DuminilCopin, June Huh, James Maynard and Maryna Viazovska were awarded the Fields Medal 2022 and Mark Braverman was awarded the Abacus Medal 2022. I am writing from Helsinki where I attended the meeting of the General Assembly of the … Continue reading
Past and Future Events
Quick announcements of past (recorded) and future events 1) Shachar Lovett was the Erdos Speaker for 2022 and his great talks are recorded. (Lecture 1, Tensor ranks and their applications lecture 2, The monomial structure of Boolean functions, lecture 3, … Continue reading
Posted in Combinatorics, Conferences, Convexity, Geometry, Quantum
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Ehud Friedgut: How many cubes of 2×2×2 fit into a box of size 8×4×3? (TYI 49)
This blog post is kindly written by Ehud Friedgut. My daughter, Shiri, who’s in seventh grade, had the following question in a math exam: How many cubes of 2×2×2 fit into a box of size 8×4×3? Shiri divided the volumes, … Continue reading
Posted in Geometry, Riddles, Test your intuition
Tagged Alef's corner, Ehud Friedgut, Shiri Friedgut, Test your intuition
6 Comments
ICM 2018 Rio (5) Assaf Naor, Geordie Williamson and Christian Lubich
This is my fifth and last report from ICM 2018 at Rio. I will talk a little about the three Wednesday plenary talks by Assaf Naor, Geordie Williamson, and Christian Lubich. See here for other posts about ICM2018. (For the … Continue reading
Posted in Algebra, Analysis, Geometry, ICM2018
Tagged Alef's corner, Assaf Naor, Christian Lubich, Geordie Williamson
3 Comments
Test your intuition 47: AGCGTCTGCGTCTGCGACGATC? what comes next in the sequence?
Before getting to the main topic of this post, first, Happy New Year 2022 and Merry Christmas to all readers, and second, a quick update: A community blog to discuss open problems in algebraic combinatorics was created. Everybody is invited … Continue reading
Posted in Algebra, Combinatorics, Geometry, Test your intuition
Tagged Oberwolfach, Test your intuition
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