Monthly Archives: November 2020

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

Posted on November 25, 2020 by

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 | Leave a comment

Péter Pál Pach and Richárd Palincza: a Glimpse Beyond the Horizon

Posted on November 20, 2020 by

  Prologue Consider the following problems: P3: What is the maximum density of a set A in without a 3-term AP? (AP=arithmetic progression.) This is the celebrated Cap Set problem and we reported here in 2016 the breakthrough results by … Continue reading →

Posted in Combinatorics, Geometry, Number theory, Open problems | Tagged , | 6 Comments

To cheer you up 14: Hong Liu and Richard Montgomery solved the Erdős and Hajnal’s odd cycle problem

Posted on November 17, 2020 by

The news: In 1981, Paul Erdős and András Hajnal asked whether the sum of the reciprocals of the odd cycle lengths in a graph with infinite chromatic number is necessarily infinite. Hong Liu and Richard Montgomery have just proved that … Continue reading →

Posted in Combinatorics | Tagged , , , , | 7 Comments

To cheer you up in difficult times 13: Triangulating real projective spaces with subexponentially many vertices

Posted on November 14, 2020 by

Wolfgang Kühnel Today I want to talk about a new result in a newly arXived paper: A subexponential size by Karim Adiprasito, Sergey Avvakumov, and Roman Karasev. Sergey Avvakumov gave about it a great zoom seminar talk about the result … Continue reading →

Posted in Algebra, Combinatorics, Geometry | Tagged , , , | 1 Comment

Benjamini and Mossel’s 2000 Account: Sensitivity of Voting Schemes to Mistakes and Manipulations

Posted on November 10, 2020 by

Here is a popular account by Itai Benjamini and Elchanan Mossel from 2000 written shortly after the 2000 US presidential election. Elchanan and Itai kindly agreed that I will publish it here,  for the first time, 20 years later!  I … Continue reading →

Posted in Combinatorics, Games, Probability, Rationality | Tagged , | 6 Comments