Alexander Berenbeim : A Tour of Games and Numbers

Posted by Alexander Berenbeim , part of the Louise Hay Logic Seminar.

At

Nov. 20, 2019, 4 p.m.

In

427 SEO

Abstract

This talk will be a broad survey of the combinatorial games, and a specific subclass of Partizan games known as the Surreal numbers. The inductive construction of these games will be covered, as well as a brief survey of some key genetic functions and relations which endow these classes with universal embedding properties. Specifically, Jacob Lurie showed that the class of Partizan games is the universal embedding object of partially ordered abelian groups, and Philip Ehrlich, Lou van den Dries and others have shown that the Surreal numbers are similarly an universal embedding objects for ordered groups, ordered rings, real closed fields, logarithmic-exponential power series, and more.