Course Title: Introduction to Automorphic forms and representations
Text: Daniel Bump's book with title as above.
About the course:
Modular or automorphic forms play a central role in number theory. In
some sense L-functions (these are generalizations of the Riemann zeta
function) play a central role in number theory. There are two standard
sources of L-functions: one source is geometry (thanks to work of
Deligne, Grothendieck and others) and the other source is automorphic
or modular forms. Ambitious conjectural program due to Langlands
envisages that these two sources provide the same L-functions (in some
sense).
The course will cover a large part of Bump's book and provide an
introduction to one of the sources of L-functions. We will cover most
aspects of GL(1) and Gl(2) theory in detail.