## Speaker:

Prof. Richard Taylor

## Institution:

Harvard University

## Time:

Friday, January 30, 2004 - 4:00pm

## Location:

MSTB 254

I will first recall some examples of L-functions and indicate some of the ways they have been important in algebraic number theory. I will then describe what appears to be their intimate connection with Galois theory (eg the Fontaine-Mazur conjectures), as well as touching on their relationship with algebraic geometry and automorphic forms. Finally, I will discuss what can be proved in this direction.