11220MATH552500 代數拓樸(Algebraic Topology)

書面報告 + 口頭報告
報告說明：
- 書面報告在eLearn上繳交，6/20前交。
- 口頭報告預計在最後幾週，上課時間進行，每人10到15分鐘，簡單介紹書面報告的內容。
- 口頭報告預計綠影，用youtube留言方式讓同學間互評(留言最後一行寫學號)，適當留言會提高成績。
- 主題需先跟我登記，不能跟別的同學重複(先登記優先)，跟代數拓樸有關即可。
- 主題登記處：https://forms.gle/UExmbHtv5FVxFMVo7
- 目前報告登記結果
- 投影片使用調查：https://forms.gle/8bTJdi4gfbP1FS8M6
- 一般報告的寫法可參考台大謝寶煖老師的說明以及這本書。
額外加分：
- 若學期中在Student Geometry Seminar中報告(需事先取得我的同意)，會加分。
- 在6/3前可以做課本相關章節的練習題並上傳到eLearn，這些加分作業我不會改，但期末會根據這些作業加一些分數。
成績會在eLearn上公布。

下表隨時間更新。

Week1(2/20): no classes this week
Week2(2/27): Introduction, simplicial homology (boardAT0227)
Week3(3/5): Simplicial homology, computation, singular homology (boardAT0305)
Week4(3/12): Singular homology, chain complex (boardAT0312)
Week5(3/19): Homotopy invariance of singular homology (boardAT0319)
Week6(3/26): Exact sequence, relative homology (boardAT0326)
Week7(4/2): Relative homology, excision theorem (boardAT0402)
Week8(4/9): Excision theorem, naturality (boardAT0409)
Week9(4/16): CW complexes (boardAT0416)
Week10(4/23): Cellular homology (boardAT0423)
Week11(4/30): Cellular homology, computation of degrees (boardAT0430)
Week12(5/7): Computation of degrees, Euler characteristic, Mayer-Vietoris sequence, homology with coefficients (boardAT0507)
Week13(5/14): Universal coefficient theorem, cohomology
Week14(5/21): Cohomology , cup product
Week15(5/28): Cup product, presentation
Week16(6/4): presentation
Week17(6/11): presentation
Week18(6/20): no classes this week