Organizer: Shaoyun Yi

Speaker: Jiawei Yang (杨嘉维)

Participant: Chuhui Gao (高楚辉)

Reference:
An Introduction to Automorphic Representations - With a view toward trace formulae (GTM 300), Jayce R. Getz and Heekyoung Hahn

Tentative Schedule:

No.	Date	Sections	Topics
1	3/11	Automorphic Representation Lecturer 1	Abstract
2	3/20 (F)	Automorphic Representation Lecturer 2	Abstract

Abstracts

Automorphic Representation Lecturer 1

For the first session of our second seminar on automorphic representation, I will give a rough overview of our seminar, which consists of Langlands' decomposition of the $L^2$-spectrum of the adelic quotient group for the first half, and the (relative) trace formula for the second half. We will start from the cuspidal spectrum of the $L^2$-spectrum.

Automorphic Representation Lecturer 2

This time, we will develop the theory of Poincaré series and use this technique to prove the closedness of the cuspidal $L^2$-spectrum in the whole $L^2$-spectrum.