报 告 人： David Goldberg 教授
报告题目： Introduction to the Langlands Program and the Langlands-Shahidi method
In the 1960s, R.P. Langlands posed a series of questions, the answers to which he hoped would illuminate the general theory of automorphic forms. The Langlands philosophy was to exhibit deep connections between the theory of automorphic forms, harmonic analysis, and algebraic geometry, in such a way that arithmetic information could be transferred between objects in these different areas. These ideas become known as the Langlands Conjectures, and the efforts to resolve them is known as the Langlands program. In the last 20 years, significant progress has been made, though much remains to be undone. One of the most productive approaches, developed by F. Shahidi exploits the analytic theory of induced representations, both locally and globally. We will give an overview of these topics, particularly in the direction reducibility of induced representations.