UM Math Graduate Student Seminar

Andy Smith
University of Miami

will present

An Introduction to the Surreal Numbers

Friday, February 5, 2016, 5:00pm
Ungar Building Room 402


Abstract: 

The surreal numbers form an ordered field, and, informally speaking, contain every other ordered field as subfields.  During this talk, we will first revisit some familiar fields and the properties that they satisfy.  Once we establish an understanding of these fundamental fields, we will explore motivations for the construction of the surreal numbers, followed by a verification that these new “numbers” indeed form an ordered field.  We will then apply this newfound understanding of the surreal numbers as a tool to investigate mathematical games.  The lecture will conclude with a discussion of the current research on surreal numbers, namely analysis and integration.

 


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