Blogs about: Open Problems

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Diophantine property of generic elements of non-commutative groups

Hi! I’m writing just to say that I’ve uploaded a post in the Portuguese version of this blog about the problem of Diophantine properties of elements of non-commutative groups (e.g., any su… more »

Disquisitiones Mathematicae

Extermal Combinatorics II: Some Geometry and Number Theory

Gil Kalai wrote 2 days ago: Extremal problems in additive number theory Our first lecture dealt with extremal problems for fam … more »

Tags: Combinatorics, additive combinatorics, extremal combinatorics, Geometric combinatorics

Arrow's Economics 1 — 1 comment

Gil Kalai wrote 4 days ago: The annual Summer School in Economics at HU was directed until last year by Kenneth Arrow, along wit … more »

Tags: Economics, arrow, Economics puzzles

Helly, Cayley, Hypertrees, and Weighted Enumeration III — 2 comments

Gil Kalai wrote 2 weeks ago: This is the third and last part of the journey from a Helly type conjecture of Katchalski and Perl … more »

Tags: Combinatorics, convexity, Probability

Diophantine property of generic elements of non-commutative groups

matheuscmss wrote 1 month ago: Hi! I’m writing just to say that I’ve uploaded a post in the Portuguese version of this … more »

Tags: Expository, math.NT, mathematics, Diophantine properties, Kaloshin and Rodnianski theorem, non-commutative groups, Ruziewicz problem

Nati's Influence — 2 comments

Gil Kalai wrote 1 month ago:       When do we say that one event causes another? Causality is a topic of great interest in s … more »

Tags: Combinatorics, Computer Science, Probability, Game Theory, Distributed Computing, Collective coin flipping, Sharp thresholds, Voting rules, boolean functions

Local Events, Turan's Problem and Limits of Graphs and Hypergraphs — 1 comment

Gil Kalai wrote 2 months ago: I will write a little about how hectic things are now here at HU, and make two (somewhat related) … more »

Tags: Combinatorics, combinatorics:extremal, extremal combinatorics, graph limits, quasirandomness, Turan's problem

Five Open Problems Regarding Convex Polytopes — 11 comments

Gil Kalai wrote 2 months ago:    The problems  1. The conjecture A centrally symmetric d-polytope has at least non empty fac … more »

Tags: Combinatorics, convex polytopes, convexity, Combinatorics: geometric, mathematical open problems

Extremal Combinatorics I: Extremal Problems on Set Systems — 3 comments

Gil Kalai wrote 2 months ago: The “basic notion seminar” is an initiative of David Kazhdan who joined HU math depart … more »

Tags: combinatorics:extremal, extremal combinatorics

Combinatorics, Mathematics, Academics, Polemics, ... — 8 comments

Gil Kalai wrote 2 months ago: 1. About: My name is Gil Kalai and I am a mathematician working mainly in the field of Combinatori … more »

Tags: Blogging, Combinatorics, Controversies and debates, Debates

What's the size of certain unbalanced products of SL(2,R) matrices?

matheuscmss wrote 3 months ago: Today I would like to discuss an open “toy problem” proposed by Jairo Bochi and Bassam F … more »

Tags: math.DS, mathematics


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