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Mathematical Sciences

Diophantine equations and ideal class groups

Date: 3:30pm - 4:30pm PST November 12, 2014 Location: John Howard 135

John Howard 135

 

Dr. Derek Garton

Portland State University

 

Number theorists have studied ideal class groups of number fields for hundreds of years, since knowledge of their properties helps to solve Diophantine equations (among other things).

I will introduce ideal class groups, show how they can be used to solve Diophantine equations, and describe some recent statistical results about their structure.