University Seminar-University Seminar: Computability, Complexity, and Algebraic Structure-More on cohesive products of fields

Time: Wednesday, January 28, 5:00–6:00 pm

Place: Phillips Hall, Room 108

Speaker:  Henry Klatt, GWU

Title: More on cohesive products of fields

Abstract: A cohesive power of a computable structure is a computability theoretic analog of an ultrapower of the structure, in which the supersets of a cohesive set play the role of an ultrafilter. An infinite set of natural numbers is cohesive if it is indecomposable with respect to computably enumerable sets. There are continuum many such sets. Much of our recent work has been focused on the cohesive powers of computable fields. In this talk, we will discuss some recent results in this area.