Tag Archives: Nati Linial

To cheer you up in difficult times 19: Nati Linial and Adi Shraibman construct larger corner-free sets from better numbers-on-the-forehead protocols

What will be the next polymath project? click here for our previous post.  Number on the forehead, communication complexity, and additive combinatorics Larger Corner-Free Sets from Better NOF Exactly-N Protocols, by Nati Linial and Adi Shraibman Abstract: A subset of … Continue reading

Posted in Combinatorics, Computer Science and Optimization | Tagged , | 3 Comments

Recent progress on high dimensional Turan-Type problems by Andrey Kupavskii, Alexandr Polyanskii, István Tomon, and Dmitriy Zakharov and by Jason Long, Bhargav Narayanan, and Corrine Yap.

The extremal number for surfaces Andrey Kupavskii, Alexandr Polyanskii, István Tomon, Dmitriy Zakharov: The extremal number of surfaces Abstract: In 1973, Brown, Erdős and Sós proved that if is a 3-uniform hypergraph on vertices which contains no triangulation of the sphere, then   … Continue reading

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Open problem session of HUJI-COMBSEM: Problem #1, Nati Linial – Turan type theorems for simplicial complexes.

On November, 2020  we had a very nice open problem session in our weekly combinatorics seminar at HUJI.  So I thought to have a series of posts to describe you the problems presented there.  This is the first post in … Continue reading

Posted in Combinatorics, Geometry, Open problems | Tagged | 3 Comments

10 Milestones in the History of Mathematics according to Nati and Me

Breaking news: David Harvey and Joris Van Der Hoeven. Integer multiplication in time O(nlogn). 2019. (I heard about it from Yoni Rozenshein on FB (חפירות על מתמטיקה); update GLL post. )  _____ Update: There were many interesting comments here and … Continue reading

Posted in Open discussion, What is Mathematics | Tagged | 40 Comments

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

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High Dimensional Combinatorics at the IIAS – Program Starts this Week; My course on Helly-type theorems; A workshop in Sde Boker

The academic year starts today. As usual it is very hectic and it is wonderful to see the ever younger and younger students. Being a TelAvivian in residence in the last few years, I plan this year to split my … Continue reading

Posted in Combinatorics, Computer Science and Optimization, Geometry, Updates | Tagged , , | 4 Comments

Midrasha Mathematicae #18: In And Around Combinatorics

  Tahl Nowik                  Update 3 (January 30): The midrasha ended today. Update 2 (January 28): additional videos are linked; Update 1 (January 23): Today we end the first week of the school. David Streurer and Peter Keevash completed … Continue reading

Posted in Combinatorics, Conferences, Updates | Tagged | 5 Comments

NatiFest is Coming

The conference Poster as designed by Rotem Linial A conference celebrating Nati Linial’s 60th birthday will take place in Jerusalem December 16-18. Here is the conference’s web-page. To celebrate the event, I will reblog my very early 2008 post “Nati’s … Continue reading

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A Beautiful Garden of Hypertrees

We had a series of posts (1,2,3,4) “from Helly to Cayley” on weighted enumeration of Q-acyclic simplicial complexes. The simplest case beyond  Cayley’s theorem were Q-acyclic complexes  with vertices, edges, and triangles. One example is the six-vertex triangulation of the … Continue reading

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Nati’s Influence

When do we say that one event causes another? Causality is a topic of great interest in statistics, physics, philosophy, law, economics, and many other places. Now, if causality is not complicated enough, we can ask what is the influence one event has … Continue reading

Posted in Combinatorics, Computer Science and Optimization, Open problems, Probability | Tagged , , , , , , , , , | 21 Comments