課程名稱 |
泛函分析二 Functional Analysis (Ⅱ) |
開課學期 |
112-2 |
授課對象 |
理學院 數學研究所 |
授課教師 |
王振男 |
課號 |
MATH7206 |
課程識別碼 |
221 U0120 |
班次 |
|
學分 |
3.0 |
全/半年 |
半年 |
必/選修 |
選修 |
上課時間 |
星期一8(15:30~16:20)星期三6,7(13:20~15:10) |
上課地點 |
天數201天數201 |
備註 |
總人數上限:25人 |
|
|
課程簡介影片 |
|
核心能力關聯 |
核心能力與課程規劃關聯圖 |
課程大綱
|
為確保您我的權利,請尊重智慧財產權及不得非法影印
|
課程概述 |
The contents are as follows.
1. Galois descent and fppf descent.
2. Algebraic groups
3. Galois cohomology, etale cohomology and fppf cohomology.
4. Weil conjectures.
5. Cohomological obstructions to rational points. |
課程目標 |
After this course, we expect that students have the ability to read recent papers on related topics and have basic tools to start their research tour. |
課程要求 |
We assume the students already know algebraic geometry.
We will mainly follow the book “rational points on varieties”wriiten by B. Poonen.
(We start from Chapter 4.) |
預期每週課後學習時數 |
|
Office Hours |
每週二 10:00~12:00 備註: |
指定閱讀 |
|
參考書目 |
|
評量方式 (僅供參考) |
|