Department of         Mathematical Sciences Events People Colloquia and Seminars Conferences Centers Positions Areas of Research About the Department Alumni Model Theory Seminar Roy Jiang Carnegie Mellon University Title: Many models for unstable first-order theory, part 1 Abstract: Let $T$ be a first-order theory and $\lambda$ be an uncountable cardinal satisfying $\lambda >= |T|$. If $T$ is unstable then $I(\lambda,T)=2^\lambda$.For the proof we will construct many "complicated" linear orders, we will take Skolem hulls of such orders and if $I(\lambda,T)<2^\lambda$ using combinatorial set theory we will construct large families of almost disjoint sets and will use them to code stationary sets into isomorphism types of models for $T$.Date: Monday, October 29, 2012Time: 5:00 pmLocation: Wean 8220Submitted by:  Grossberg