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Introduction to Automorphic Representations on GL(2)
Fri 13:20~16:20 (第6,7,8節) No Class on 12/28, September 10, 2018 - January 4, 2019
Room 101, Astronomy-Mathematics Building, NTU

Fu-Tsun Wei (Department of Mathematics, National Tsing Hua University)

Ming-Lun Hsieh (Academia Sinica)

1. Background and purpose:
Theory of automorphic representations is a very important subject in
modern number theory. In particular, it is one of the most powerful tools in
the research on analytic aspects of L-functions. The purpose of this course
is to introduce and study automorphic representations for GL(2).
2. Outline and speakers:
Lecturer: Fu-Tsun Wei.
Local theory of representation on GL(2)
(1) Weil representations on SL(2)
(2) Explicit construction of representations on GL(2) as quotients of Weil representations
(3) Whittaker models and Kirillov models
(4) Classification of admissible irreducible representations on GL(2)
(5) Local Jacquet-Langlands correspondence via theta lifting
(6) Theory of local L-functions for GL(2) and GL(2)xGL(2)
Because of ICCM, we don't have class on 12/25.

Contact: murphyyu@ncts.tw

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