Topics to be covered include:

Part I: Classical modular forms:
Modular Forms as functions on lattices, as holomorphic functions, as sections of coherent sheaves, as cohomology of local systems Hecke operators, admissible representations, Local Langlands for GL_2 Modular curves over number fields and over rings of integers. The special fibre of X_0(p), The Eichler-Shimura relation Representations of GL_2(R)

Part II: Galois Representations for GL(2):
Galois Representations for classical modular forms
Galois Representations locally at p (introduction)
Deformations of Galois Represenations
The idea behind the Taylor-Wiles argument

Part III: Generalizations to other groups
Reductive algebraic groups, the Langlands dual groups, algebraic automorphic forms Special Cases: Hilbert modular forms, Siegel modular forms, Inner Forms of GL(2), Jacquet-Langlands Simple Shimura varieties Local Models The Local Langlands conjecture + global reciprocity (statements) Kisin's modification of Taylor-Wiles