Factoring Unfactorable Polynomials

When
Start: 11/18/2015 - 4:15pm
End  : 11/18/2015 - 5:15pm

Category
Colloquium

Speaker
David Eisenbud (UC Berkeley)

Abstract

Everyone learns in elementary algebra to factor the polynomial x^2-y^2 as (x+y)(x-y), but one must enlarge the real numbers to the complex numbers in order to factor x^2+y^2. However, x^2-y^3 can’t be factored as a product of polynomials, even over the complex numbers. I’ll explain a fruitful way of enlarging the universe of discourse to include factorizations of such unfactorable polynomials, and some of its applications. The area is rich with open problems that are easily understood.

Where
Argue Auditorium, Millikan, Pomona College