Louise Hay Logic Seminar
Alexander Berenbeim
UIC
A Tour of Games and Numbers
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.
Wednesday November 20, 2019 at 4:00 PM in 427 SEO