College of Liberal Arts and Sciences

# Department of Mathematics

## S.I.G.M.A. Seminar

+ Show/hide abstracts and details

Title: The Fermat Equation for Polynomials ...it's as easy as ABC
Speaker: Bobby McDonald (University of Connecticut)
Time: Friday, March 31, 2017 at 12:20 pm
Place: MONT 111Abstract: Many problems in number theory are easy to state but are very hard to prove. A famous example, taking over 350 years to settle, is Fermat's last theorem: there are no solutions $x, y, z$ in positive integers to the equation $$x^n+y^n=z^n$$ when $n\geq 3$. In this talk, we will discuss analogies between integers and polynomials, and see that Fermat's Last Theorem can be proved very simply for polynomials using just a little calculus! We will also see some other results for integers that are either extremely hard to prove or still unknown, but which have been proved in a simple way for polynomials.

Organizer: Phanuel Mariano