Title: Elementary Math Challenges in Number Theory
Speaker: Miguel A. Lerma
Speaker Info: Northwestern University
Brief Description: Training session for the Putnam Competition
Special Note: Training session for the Putnam Competition
Abstract:
Carl Friedrich Gauss claimed that Mathematics is the queen of the sciences, and number theory is the queen of mathematics. From Diophantine equations to modular arithmetic, from Fermat's Little Theorem $a^{p-1} \equiv 1 \pmod{p}$ to Fermat's Last Theorem $x^n+y^n=z^n$, the theory of numbers challenge us with problems of apparent simplicity hiding unexpected difficulties.Date: Tuesday, October 18, 2016