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Kolloquium Wilhelm Killing: Prof. Dr. Assaf Rinot (Bar-Ilan): Hindman's theorem and uncountable Abelian groups

Donnerstag, 30.01.2020 16:30 im Raum M5
Mathematik und Informatik

In the early 1970's, Hindman proved a beautiful theorem in additive Ramsey theory asserting that for any partition of the set of natural numbers into finitely many cells, there exists some infinite set such that all of its finite sums belong to a single cell. In this talk, we shall address generalizations of this statement to the realm of the uncountable. Among other things, we shall present a negative partition relation for the real line which simultaneously generalizes a recent theorem of Hindman, Leader and Strauss, and a classic theorem of Galvin and Shelah. Time permits, we shall also discuss the challenges arising in obtaining similar results for non-Abelian groups. This is joint work with David Fernandez-Breton.



Angelegt am Freitag, 11.10.2019 09:56 von shupp_01
Geändert am Donnerstag, 19.03.2020 10:49 von vliesche
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Kolloquium Wilhelm Killing
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