Speaker

:

Dr. Aftab Pande

Subject Area

:

Mathematics

Venue

:

Lecture Hall - III, Dept of Mathematics

Time

:

4.00 pm

Date  

:

July 23,2008 (Wednesday)

Title

:

Modular Forms, Elliptic Curves and Galois

I will give a brief overview of Wiles' proof of Fermat's Last Theorem, and explain the connection between modular forms and elliptic curves via Galois representations e.g. the Taniyama-Shimura conjecture. In the second half, I'll explain some recent results on p-adic modular forms and deformations of Galois representations. If time permits, I'll outline a future  project on ranks of elliptic curves.