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課程名稱 |
Langlands 規劃導論
Introduction to Langlands Program |
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開課學期 |
107-1 |
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授課對象 |
理學院 數學系 |
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授課教師 |
于 靖 |
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課號 |
MATH5096 |
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課程識別碼 |
221 U8410 |
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班次 |
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學分 |
3.0 |
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全/半年 |
半年 |
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必/選修 |
選修 |
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上課時間 |
星期五8,9,10(15:30~18:20) |
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上課地點 |
天數519 |
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備註 |
總人數上限：10人 |
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Ceiba 課程網頁 |
http://ceiba.ntu.edu.tw/1071MATH5096_Lang |
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課程簡介影片 |
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核心能力關聯 |
本課程尚未建立核心能力關連 |
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課程大綱
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為確保您我的權利,請尊重智慧財產權及不得非法影印
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課程概述 |
We will start with basic algebraic number theory, and algebraic function theory. This course will then move toward an introduction of Langlands Program. |
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課程目標 |
We aim at the theory of L-functions, automorphic representations, and Galois representations. |
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課程要求 |
Algebra and Complex Analysis from the undergraduate Math Preparation are the basic requirements. |
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預期每週課後學習時數 |
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Office Hours |
另約時間 |
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指定閱讀 |
There is an NCTS course on Automorphic Representations with lectures given by Professor Fu-Tsun Wei.
Students of our Langlands Program course are encouraged to take also this NCTS course at NTU. |
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參考書目 |
D. Bump, Automorphic Forms and Representations, Cambridge University Press. 1997.
J. Bernstein, S. Gelbart : An nIntroduction to the Langlands Program, 2004. |
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評量方式
(僅供參考) |
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No. |
項目 |
百分比 |
說明 |
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1. |
Homework Assignments |
70% |
We open an Overleaf Site for working on Exercises |
2. |
Report Presentations |
30% |
Final Presentations |
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週次 |
日期 |
單元主題 |
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第1週 |
9/14 |
Global Fields, algebraic number fields. |
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第2週 |
9/21 |
Algebraic function fields over a finite field. |
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第3週 |
9/28 |
Adeles, ideles. |
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