Undergraduate Mathematics Seminar
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Seminar
Padic Numbers, by Joe Mastromatteo (Ohio University, Mathematics)
What 


When 
Apr 10, 2013 from 04:10 PM to 04:55 PM 
Where  226 Morton Hall 
Contact Name  Martin Mohlenkamp 
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Abstract: The real numbers are a completion of the rational numbers, in the sense that we attach to the rationals limits of Cauchy sequences under the usual absolute value metric. In this talk, we discuss a different metric, called the "padic metric", one can impose on the rationals. The corresponding completion forms a new set of numbers called the "padic numbers". We will look at properties of padic numbers and how they differ from the real numbers.