A group is definably amenable if there is a translation-invariant measure on the algebra of definable sets. This notion is particularly fruitful in the NIP context, where definable amenability is equivalent to the existence of some kind of generic…
Categoria evento: Logic Seminar
Measures in NIP theories and applications to combinatorics – Pierre Simon (CNRS, Université Lyon)
The study of NIP theories has brought forth a new tool in model theory : Keisler measures, or finitely additive measures on definable sets. In this talk, I will introduce both NIP and Keisler measures and survey the most notable results concerning…
NONSTANDARD METHODS, ASYMPTOTIC DENSITY AND SUMSETS – Steven Leth (Univ. North. Colorado (USA))
In this talk I will outline some of the basics of nonstandard analysis and discuss how nonstandard methods can be applied to obtain new results in combinatorial number theory. We will look at a recent result obtained jointly with Di Nasso,…