Time:  12:00  13:20 
Room: 
Wean Hall 7201

Speaker: 
Spencer Unger Department of Mathematical Sciences Carnegie Mellon University 
Title: 
Scales and the Singular Cardinals Hypothesis

Abstract: 
(Joint work with Dima Sinapova) In this series of talks I will present the following recent result which answers a question posed by Woodin in the 80's. Assuming that there is a supercompact cardinal it is consistent that the singular cardinals hypothesis (SCH) fails at א_{ω} and there is a bad scale at א_{ω}. 