Blogs about: Combinatorics

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Gale and Koszul duality, together at last2 comments

Ben Webster wrote 5 days ago: So, in past posts, I’ve attempted to explain a bit about Gale duality and about Koszul duality … more »

Tags: category O, hyperplanes, Mathematical Physics, Papers, the arXiv

The Twenty-Seven Lines on the Cubic Surface8 comments

Charles wrote 1 month ago: Ok, I just came across this proof, and it’s so cool I have to blog about it. This is not rela … more »

Tags: Algebraic Geometry, Algebraic Topology

Update on 2-dimensional Kakeya sets over finite fields

JSE wrote 1 month ago: A few months ago I wrote about the problem of giving a sharp lower bound for the size of a Kakeya su … more »

Tags: Math, kakeya, ball, blokhuis, mazzocca, Geometry, tao

Hypertoric varieties and Koszul duality6 comments

Ben Webster wrote 3 months ago: So, on Wednesday, I gave a talk with the above title at IAS, about work in progress with Tom Braden, … more »

Tags: IAS, Talks, category O, D-modules, Algebraic Geometry, Homological Algebra, Representation Theory

Give the people (who like the Kakeya problem) what they want12 comments

JSE wrote 3 months ago: Wow — make one comment on Terry’s blog and you get a ton of traffic. Terry encouraged me … more »

Tags: Math, Number Theory, kakeya, Algebraic Geometry, dvir

Interpreting the Hecke Algebra7 comments

davidspeyer wrote 4 months ago: Let denote the finite field with elements. Let denote the set of complete flags in . Such a flag … more »

Tags: category O, Algebraic Geometry

Stable marriages14 comments

Ben Webster wrote 6 months ago: So, one of my odd mathematical fixations (totally unrelated to my research) is the stable marriage a … more »

Tags: Things I Don't Understand, fun problems

Embedded TQFT?10 comments

Ben Webster wrote 6 months ago: So, a subject rather near and dear to the hearts of many of my fellow co-bloggers is that of 1+1-dim … more »

Tags: tqft, Algebraic Topology, QFT, Topology, low-dimensional topology

Counting combinations

pythonisms wrote 1 day ago: The number of ways to select r items from a set of size n where order matters is usually called: n p … more »

Tags: Math, factorials

Cohen Macaulay Algebras and Non-negativity1 comment

benbraun wrote 1 day ago: One element of topological and algebraic combinatorics that I found very difficult to understand as … more »

Tags: Algebra.

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: Open problems, additive combinatorics, extremal combinatorics, Geometric combinatorics

Counting and generating Permutations

pythonisms wrote 4 days ago: You may have seen puzzles where you have to arrange tiles in different orders. Consider 4 letters a, … more »

Tags: Math, combinations

Pushing Behrend Around

Gil Kalai wrote 1 week ago: Erdos and Turan asked in 1936: What is the largest subset of {1,2,…,n} without a 3-term arit … more »

Tags: Updates, arithmetic progressions, Roth's theorem, Szemeredi's theorem

From Helly to Cayley IV: Probability4 comments

Gil Kalai wrote 1 week ago: I decided to split long part III into two parts. This (truly) last part of this series deals with p … more »

Tags: Probability

Cedric's Coding Challenge

ragstorooks wrote 2 weeks ago: I thought I would take an attempt at the coding challenge presented by Cedric. Most of the solutions … more »

Tags: Work, coding challenge

Helly, Cayley, Hypertrees, and Weighted Enumeration III2 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: convexity, Open problems, Probability

Euler's Formula, Fibonacci, the Bayer-Billera Theorem, and Fine's CD-index2 comments

Gil Kalai wrote 4 weeks ago:   Bill Gessley proving Euler’s formula (at UMKC)   In the earlier post about Billerafest I m … more »

Tags: convex polytopes, Bayer-Billera's theorem, cd index, Flag numbers

Helly's Theorem, "Hypertrees", and Strange Enumeration II: The Formula

Gil Kalai wrote 1 month ago: In the first part of this post we discussed an appealing conjecture regaring an extension of Cayley … more »

Tags: convexity, Cayley theorem, Helly type theorems, Topological combinatorics

Stirling Numbers of First Kind

Reetesh Mukul wrote 1 month ago: Vikalpa, is a Sanskrit/Hindi word, often used in context of choice making. The ancient Indian Script … more »

Tags: mathematics, Combinatoircs


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