Event time:
Tuesday, October 22, 2019 - 6:00pm
Location:
LOM 206
Speaker:
Yifeng Liu
Speaker affiliation:
Yale University
Event description:
Abstract: A natural integer is a congruent number if it is the area of a right triangle with three rational number sides. It is a problem recorded in an Arab manuscript of the 10th century to find all congruent numbers, which is still open today. In this talk, we will do some experiments on finding congruent numbers, prove that 1 is not a congruent number, and finally speculate a pattern of these numbers. We will also talk about the history and progress of this problem, and its connection with modern number theory.