Meetings/Workshops on Graph Theory and Combinatorics in Italy

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1
Ramsey Theory of Equations and related topics
16 Feb 2018 - 17 Feb 2018 • Pisa, Italy
Abstract:
In 2016 two long standing open problems in Ramsey Theory of equations and polynomial configurations have been solved: the Boolean Pythagorean triples problem and the partition regularity of the configuration {x,x+y,xy}. For this reason, problems regarding the partition regularity of nonlinear Diophantine equations and polynomial configurations are now in the spotlight of the mathematical community. An interesting feature of this topic is that different non-elementary techniques, including ultrafilters, ergodic theory, nonstandard analysis, semigroup theory and topological dynamics, can be applied to attack problems. The aim of this Workshop is to present aspects of several of these different techniques, as well as to discuss some interesting related problems.
Contact:
Lorenzo Luperi Baglini;     Email: lorenzo.luperi.baglini@univie.ac.at
Topics:
Ramsey Theory, combinatorics, Diophantine equations, partition regularity, ultrafilters.
Event listing ID:
965958
Related subject(s):

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AIP Conference Proceedings
Last updated: 06 November 2017