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
Metrizable universal minimal flows and Ramsey theory - T. Tsankov - Workshop 1 - CEB T1 2018
Todor Tsankov (Université Paris Diderot) / 01.02.2018 The connection between Ramsey theory and topological dynamics goes back at least to Furstenberg who used dynamical systems of the group of integers to derive a new proof of Van Der Waerden’s theorem. More recently, Kechris, Pestov, and
From playlist 2018 - T1 - Model Theory, Combinatorics and Valued fields
Advances on Ramsey numbers - Jacob Fox
https://www.math.ias.edu/seminars/abstract?event=83564
From playlist Computer Science/Discrete Mathematics
Using nonstandard natural numbers in Ramsey Theory - M. Di Nasso - Workshop 1 - CEB T1 2018
Mauro Di Nasso (Pisa) / 01.02.2018 In Ramsey Theory, ultrafilters often play an instrumental role. By means of nonstandard models, one can reduce those third-order objects (ultrafilters are sets of sets of natural numbers) to simple points. In this talk we present a nonstandard technique
From playlist 2018 - T1 - Model Theory, Combinatorics and Valued fields
Ramsey theorems for classes of structures with (...) - J. Hubička - Workshop 1 - CEB T1 2018
Jan Hubička (Charles U) / 02.02.2018 Ramsey theorems for classes of structures with functions and relations We discuss a generalization of Nešetřil-Rődl theorem for free amalgamation classes of structures in a language containing both relations and partial functions. Then we further stre
From playlist 2018 - T1 - Model Theory, Combinatorics and Valued fields
This video is about some of the basic properties of Ramsey numbers.
From playlist Basics: Graph Theory
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
Number theory Full Course [A to Z]
Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure #mathematics devoted primarily to the study of the integers and integer-valued functions. Number theorists study prime numbers as well as the properties of objects made out of integers (for example, ratio
From playlist Number Theory
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
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
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 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
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 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
John M. Keynes and Treatise on Probability - Prof. Simon Blackburn
Abstract To introduce Keynes’s Treatise on Probability in a short time I shall emphasize its remarkable scholarship; its debt to Russell’s logicism; and its pervasive scepticism about the possibility of applying mathematics to its subject. I then briefly consider the departure from logici
From playlist Uncertainty and Risk
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
MIT 8.421 Atomic and Optical Physics I, Spring 2014 View the complete course: http://ocw.mit.edu/8-421S14 Instructor: Wolfgang Ketterle In this lecture, the professor used simple cases to explain line shifts and broadening. License: Creative Commons BY-NC-SA More information at http://oc
From playlist MIT 8.421 Atomic and Optical Physics I, Spring 2014