BSM
COLLOQUIUM   LECTURE
     Professor
       LAURA MANN SCHUELLER
                     (Whitman College)
is going to give a talk on
 
         Pythagorean Triples ad Nausea
The colloquium is on
Thursday, December 4th, 16:10
in room  102


ALL WELCOME!

 Abstract:   It is a fairly standard exercise in number theory to classify all Pythagorean triples; that is triples
of integers (a,b,c) satisfying a2+b2=c2.  But, what interesting questions can be asked when you change the number of variables, or the exponents, or if you add coefficients?  What if you add more conditions - for example you require the area of the right triangle with sides a,b and hypotenuse c to also have perfect square area?  In this talk we will discuss the Pythagorean triples and some of these generalizations.  We will look at some known results and some still open questions.