Casual Seminar – Carlos Córdoba – Unlimited Power: Introduction to pseudofinite structures
Nov 8, 2023
5:30PM to 7:00PM
Date(s) - 08/11/2023
5:30 pm - 7:00 pm
Location: BSB 104
Speaker: Carlos Córdoba
Title: Unlimited Power: Introduction to pseudofinite structures
Abstract: Model Theory seems to be on the dark side of the mathematical spectrum for most mathematicians. In this talk I will introduce the attendees to the power of the dark side by presenting the notion of pseudofiniteness for one famous mathematical object: Abelian groups.
In general, a pseudofinite abelian group is an abelian group that is elementary equivalent to an ultraproduct of finite abelian groups. During my talk, I will give a brief introduction to the definition of pseudofiniteness and the construction of an ultraproduct of abelian groups. Afterwards, I will show that the additive group of the real numbers is pseudofinite.
Coffee available 5pm in Hamilton Hall – 216 (Lounge)
To volunteer to give a talk please visit our website: https://sites.google.com/view/casual-math-seminar/give-a-talk