MSCS Seminars Today

Calendar for Tuesday February 7, 2023

Tuesday February 7, 2023
pdf * Logic Seminar
Saturation properties of ultrafilters
Tom Benhamou (UIC)
4:00 PM in 636 SEO
In this talk, we will focus on certain saturation properties of filters and ultrafilters which generalizes the so-called Galvin property. In the first part of the talk, we will present a connection between such ultrafilters and the existence of Slim-Kurepa trees. We will then present several results regarding the existence of non-Galvin ultrafilters under several large cardinal assumptions. Finally, if time permits, we will present a recent application to canonical inner models and some open related questions.
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