The aim of the course is to introduce automorphic forms and automorphic representations for GL_2. We will start from Maass forms, their Fourier-Whittaker expansions, and the spectrum. We will then talk about the ring of adeles and the automorphic forms over it. In particular, we will discuss the adelic lifting of classical forms. We will then introduce the theory of automorphic representations. In particular, we shall talk about the classification of admissible representations over local fields. Basic definitions from Modular Forms 1 are required.
- Lehrende(r): Jie Lin
- Lehrende(r): Xiaoyu Zhang