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.