Pure Math colloquium

Dima Sinapova, University of Illinois, Chicago

"Powers of singular cardinals"

Cardinal arithmetic has a long history, dating back to Cantor. After the invention of forcing, any reasonable behavior of regular cardinals was shown to be consistent. In contrast, results about singular cardinals are much more intricate and require more than the standard axioms of set theory. I will discuss relative consistency results about singular cardinal arithmetic in the context of forcing and large cardinals. I will focus on the relationship between the Singular Cardinal Hypothesis, which is a parallel of the Continuum Hypothesis for singular cardinals, and various combinatorial principles.

Refreshments will be served in MC 5046 at 3:30pm.  All are welcome.