Juris Steprans: Automorphisms of $P(\omega)/fin$

Place: Fields Institute (Room 210)

Date: November 25th, 2016 (13:30-15:00)

Speaker: Juris Steprans, York University

Title: Automorphisms of $P(\omega)/fin$

Abstract:

The question of whether all automorphisms of $P(\kappa)/fin$ are trivial has been settled in the following cases:

– For $\kappa =\omega$ by Rudin and Shelah
– For $\kappa$ between $\omega_2$ and the first inaccessible by work of Larson & McKenney and Shelah and me.

However the second result hinges on the question for automorphisms of $P(\omega_1)/fin$. I will discuss a resolution to this question stemming from recent work of Shelah and me.