__Claremont Graduate University__ | __Claremont McKenna__ | __Harvey Mudd__ | __Pitzer__ | __Pomona__ | __Scripps__

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Copyright © 2011 Claremont Center for the Mathematical Sciences

When

Start: 11/18/2015 - 4:15pm

End : 11/18/2015 - 5:15pm

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