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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
 Greatest Hits 20152022, Part I
Top Posts & Pages
 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'
 Answer: Lord Kelvin, The Age of the Earth, and the Age of the Sun
 R(5,5) ≤ 48
 The Argument Against Quantum Computers  A Very Short Introduction
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Category Archives: Algebra
Greg Kuperberg @ Tel Aviv University
Greg Kuperberg is on a short visit in Israel and yesterday he gave a fantastic lecture on an improved bound for the SolovayKitaev theorem. Here is a videotaped lecture of Greg on the same topic in QIP2023. The SolovayKitaev theorem … Continue reading
Posted in Algebra, Combinatorics, Computer Science and Optimization, Quantum
Tagged Greg Kuperberg
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ICM 2022: Langlands Day
ICM 2022 is running virtually and you can already watch all the videos of past lectures at the IMU YouTube channel, and probably even if you are not among the 7,000 registered participants you can see them “live” on YouTube … Continue reading
Posted in Algebra, ICM2022, Number theory
Tagged David Kazhdan, Frank Celegari, ICM2022, MarieFrance Vignéras
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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
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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To cheer you up in difficult times 33: Deep learning leads to progress in knot theory and on the conjecture that KazhdanLusztig polynomials are combinatorial.
One of the exciting directions regarding applications of computers in mathematics is to use them to experimentally form new conjectures. Google’s DeepMind launched an endeavor for using machine learning (and deep learning in particular) for finding conjectures based on data. Two … Continue reading
Posted in Algebra, Combinatorics, Geometry, What is Mathematics
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To cheer you up in difficult times 27: A major recent “Lean” proof verification
“Lean is a functional programming language that makes it easy to write correct and maintainable code. You can also use Lean as an interactive theorem prover.” (See Lean’s homepage and see here for an introduction to lean.) Kevin Buzzard’s blog … Continue reading
Posted in Algebra, Updates, What is Mathematics
Tagged Kevin Buzzard, Lean, Peter Scholze
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To cheer you up in difficult times 25: some mathematical news! (Part 2)
Topology Quasipolynomial algorithms for telling if a knot is trivial Marc Lackenby announced a quasipolynomial time algorithm to decide whether a given knot is the unknot! This is a big breakthrough. This question is known to be both in NP … Continue reading
Posted in Algebra, Combinatorics, Geometry, Number theory
3 Comments
To cheer you up in difficult times 21: Giles Gardam lecture and new result on Kaplansky’s conjectures
There is a very famous conjecture of Irving Kaplansky that asserts that the group ring of a torsion free group does not have zerodivisors. Given a group G and a ring R, the group ring R[G] consists of formal (finite) … Continue reading
Amazing: Simpler and more general proofs for the gtheorem by Stavros Argyrios Papadakis and Vasiliki Petrotou, and by Karim Adiprasito, Stavros Argyrios Papadakis, and Vasiliki Petrotou.
Stavros Argyrios Papadakis, Vasiliki Petrotou, and Karim Adiprasito In 2018, I reported here about Karim Adiprasito’s proof of the gconjecture for simplicial spheres. This conjecture by McMullen from 1970 was considered a holy grail of algebraic combinatorics and it resisted … Continue reading
Posted in Algebra, Combinatorics, Geometry
Tagged gconjecture, Hilda Geiringer, Karim Adiprasito, Stavros Argyrios Papadakis, Vasiliki Petrotou
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