Ramsey theory is based on Ramsey's theorem, because without it, there would be no Ramsey numbers, since they are not well-defined. This is part 2 of the trilogy of the Ramsey numbers. Useful link: https://en.wikipedia.org/wiki/Ramsey%27s_theorem#2-colour_case Other than commenting on the
From playlist Ramsey trilogy
Advances on Ramsey numbers - Jacob Fox
https://www.math.ias.edu/seminars/abstract?event=83564
From playlist Computer Science/Discrete Mathematics
Natasha Dobrinen: Borel sets of Rado graphs are Ramsey
The Galvin-Prikry theorem states that Borel partitions of the Baire space are Ramsey. Thus, given any Borel subset $\chi$ of the Baire space and an infinite set $N$, there is an infinite subset $M$ of $N$ such that $\left [M \right ]^{\omega }$ is either contained in $\chi$ or disjoint fr
From playlist Combinatorics
The Theorems of Schur and Rado by Shalom Eliahou
Program Workshop on Additive Combinatorics ORGANIZERS: S. D. Adhikari and D. S. Ramana DATE: 24 February 2020 to 06 March 2020 VENUE: Madhava Lecture Hall, ICTS Bangalore Additive combinatorics is an active branch of mathematics that interfaces with combinatorics, number theory, ergod
From playlist Workshop on Additive Combinatorics 2020
Lie Algebra Representations Arising from Ramsey Theory
Speakers; Alejandro Buendia(Ramsey's Theorem, Computation of Lie Algebras, Irreducible Decomposition of Wr, Diagonal Ramsey numbers). Junho Won(Lie Algebras Background, Representation, Subgraph-Recoloring Operators, The Cases r = p, r = p+ 1, Simple subalgebras). Jia Wan( Representation
From playlist 2017 Summer REU Presentations
Vitaly Bergelson: Mutually enriching connections between ergodic theory and combinatorics - part 5
Abstract : * The early results of Ramsey theory : Hilbert's irreducibility theorem, Dickson-Schur work on Fermat's equation over finite fields, van der Waerden's theorem, Ramsey's theoremand its rediscovery by Erdos and Szekeres. * Three main principles of Ramsey theory : First principl
From playlist Jean-Morlet Chair - Lemanczyk/Ferenczi
This random graph fact will blow your mind | Rado graph and its godlike properties
You can turn subtitles on if you wish to! :) Timestamps: 00:00 - Section 0: A random surprise 02:21 - Section 1: An "innocent" graph 05:27 - Section 2: Something fishy 08:57 - Section 3: Everything comes together 14:58 - Reflection and goodbye MUSIC used OMORI title theme: https://www.yo
From playlist Summer of Math Exposition Youtube Videos
Vitaly Bergelson: Mutually enriching connections between ergodic theory and combinatorics- part 4
Abstract : * The early results of Ramsey theory : Hilbert's irreducibility theorem, Dickson-Schur work on Fermat's equation over finite fields, van der Waerden's theorem, Ramsey's theoremand its rediscovery by Erdos and Szekeres. * Three main principles of Ramsey theory : First principl
From playlist Jean-Morlet Chair - Lemanczyk/Ferenczi
Vitaly Bergelson: Mutually enriching connections between ergodic theory and combinatorics - part 3
Abstract : * The early results of Ramsey theory : Hilbert's irreducibility theorem, Dickson-Schur work on Fermat's equation over finite fields, van der Waerden's theorem, Ramsey's theoremand its rediscovery by Erdos and Szekeres. * Three main principles of Ramsey theory : First principl
From playlist Jean-Morlet Chair - Lemanczyk/Ferenczi
On the degree of regularity of some specific equations by Shalom Eliahou
Program Workshop on Additive Combinatorics ORGANIZERS: S. D. Adhikari and D. S. Ramana DATE: 24 February 2020 to 06 March 2020 VENUE: Madhava Lecture Hall, ICTS Bangalore Additive combinatorics is an active branch of mathematics that interfaces with combinatorics, number theory, ergod
From playlist Workshop on Additive Combinatorics 2020
Vitaly Bergelson: Mutually enriching connections between ergodic theory and combinatorics - part 2
Abstract : * The early results of Ramsey theory : Hilbert's irreducibility theorem, Dickson-Schur work on Fermat's equation over finite fields, van der Waerden's theorem, Ramsey's theoremand its rediscovery by Erdos and Szekeres. * Three main principles of Ramsey theory : First principl
From playlist Jean-Morlet Chair - Lemanczyk/Ferenczi
Vitaly Bergelson: Mutually enriching connections between ergodic theory and combinatorics - part 6
Abstract : * The early results of Ramsey theory : Hilbert's irreducibility theorem, Dickson-Schur work on Fermat's equation over finite fields, van der Waerden's theorem, Ramsey's theoremand its rediscovery by Erdos and Szekeres. * Three main principles of Ramsey theory : First principl
From playlist Jean-Morlet Chair - Lemanczyk/Ferenczi
Vitaly Bergelson: Mutually enriching connections between ergodic theory and combinatorics - part 8
Abstract : * The early results of Ramsey theory : Hilbert's irreducibility theorem, Dickson-Schur work on Fermat's equation over finite fields, van der Waerden's theorem, Ramsey's theoremand its rediscovery by Erdos and Szekeres. * Three main principles of Ramsey theory : First principl
From playlist Jean-Morlet Chair - Lemanczyk/Ferenczi
Vitaly Bergelson: Mutually enriching connections between ergodic theory and combinatorics - part 1
Abstract : * The early results of Ramsey theory : Hilbert's irreducibility theorem, Dickson-Schur work on Fermat's equation over finite fields, van der Waerden's theorem, Ramsey's theoremand its rediscovery by Erdos and Szekeres. * Three main principles of Ramsey theory : First principl
From playlist Jean-Morlet Chair - Lemanczyk/Ferenczi
Vitaly Bergelson: Mutually enriching connections between ergodic theory and combinatorics - part 7
Abstract : * The early results of Ramsey theory : Hilbert's irreducibility theorem, Dickson-Schur work on Fermat's equation over finite fields, van der Waerden's theorem, Ramsey's theoremand its rediscovery by Erdos and Szekeres. * Three main principles of Ramsey theory : First principl
From playlist Jean-Morlet Chair - Lemanczyk/Ferenczi