Event time:
Thursday, April 13, 2017 - 12:15pm to 1:15pm
Location:
215 LOM
Speaker:
Jack Thorne
Speaker affiliation:
University of Cambridge
Event description:
Modular forms are holomorphic functions which admit symmetries under arithmetic groups (such as subgroups of $SL_2(Z)$). They are the key to our understanding of some of the deepest results in algebraic number theory.
In my first lecture, I will introduce some famous (and classical) Diophantine equations and explain how modular forms can be used to study their solutions. In my second lecture, I will introduce the notion of potential modularity, and discuss its role in our understanding of L-functions and Galois groups.