School Seminars and Colloquia

Infinitary logic, uncountable models, and counterexamples to the Vaught conjecture

School Seminar

by Greg Hjorth

Institution: The University of Melbourne
Date: Wed 14th May 2008
Time: 4:15 PM
Location: Room 215, Richard Berry Bldg, The University of Melbourne

Abstract: Assuming there is an infinitary sentence which provides a counterexample to the Vaught conjecture, one can show that there must be a counterexample which has no model of cardinality bigger than the first uncountable cardinal. Although the result is purely model theoretic, the proof its self relies almost exclusively on methods from descriptive set theory.

For More Information: Contact: Greg Hjorth