Spring 2025 Automorphic forms and the Weil representation

The goal is to introduce the the explicit construction of automorphic forms.


上課時間: 週一678 (13:20--14:35, 14:50:-16:15)
上課地點: 天數201


1. Motivation: Sum of squares, theta series and Eisenstein series.

2. Local L-functions for GL(1).

3. Global L-functions for GL(1).

4. Automorphic forms on GL(2) and Eisenstein series.

5. Intertwining operators.

6.


Reference:

Automorphic forms on GL(2), LNM 114 by Jacquet and Langlands.

Prerequisites: Complex analysis, Algebra and  Part I of GTM7