Undergraduate Lecture Series (Math Monday): An Introduction to Analytic Number Theory

Lecture | January 30 | 5-6 p.m. | 740 Evans Hall

 Cailan Li, UC Berkeley

 Department of Mathematics

In this talk we will first give a crash course in complex analysis and then talk about the beautiful Riemann zeta function and its generalization, obtaining $1+2+3+...= -\frac 1{12}$ as a corollary. We will then talk about the shiny objects known as modular forms, and some of their applications. In particular, we will discuss the role modular forms played in Andrew Wiles' proof of Fermat's Last Theorem.

No particular prerequisites are required, but knowing calculus would be great.