Monday, February 10, 20146:30 pmModels of PAGC 4214.03

Introduction to Lattices and Substructure Lattices

Kerry Ojakian

Bronx Community College

Kerry Ojakian

This talk with be completely elementary. We will provide an introduction to Substructure Lattices, a theme for this semester’s seminar. Given a model M of Peano Arithmetic, its Substructure Lattice is the lattice of elementary substructures of M. We will discuss the basics of lattice theory relevant to understanding this topic and present some of the big questions in this area.

Kerry Ojakian is a professor of mathematics at the City University of New York (Bronx Community College). He conducts research in logic and combinatorics.