Algebraic Topology Seminar, Autumn and Winter 2012

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Coordinator: Zhou Yang(周杨)
Email: WOOONDERFULWORLD AT GMAIL DOT COM
Textbook: Algebraic Topology, by Allen Hatcher

Schedule: 2012.09.23. - 2013.01.06. Sunday Afternoon, 09:00 - 12:00, 紫金港 东6-415

09.23. Chapter 0 Some underlying geometric notions, first half, Speaker: 吕人杰

09.30. Chapter 0 Some underlying geometric notions, second half, and exercises, Speaker: 王俊

10.14. Chapter 1 The fundamental group: 1.1 Basic constructions, and exercises, Speaker: 章元肇

10.21. 1.2 Van Kampen’s Theorem and exercises, Speaker: 李时璋

10.28. 1.3 Covering spaces, first half, Speaker: 郑虎

11.04. 1.3 Covering spaces, second half, and exercises; 1.A Graphs and free groups, and exercises, Speaker: 王俊

11.18. Chapter 2 Homology: 2.1 Simplicial and singular homology, first third, Speaker: 吕人杰

11.25. 2.1 Simplicial and singular homology, second third, Speaker: 郭政扬

12.02. 2.1 Simplicial and singular homology, last third, and exercises, Speaker: 李时璋

12.09. 2.2 Computations and applications, first half, Speaker: 章元肇

12.16. 2.2 Computations and applications, second half, and exercises, Speaker: 郑虎

12.23. 2.3 The formal viewpoint, and exercises; 2.A Homology and fundamental group; 2.B Classical applications, and exercises, Speaker: 吕人杰

12.30. Chapter 3 Cohomology 3.1 Cohomology groups, first half, Speaker: 郭政扬

01.06. 3.1 Cohomology groups, first half, and exercises, Speaker: 郑虎

If you want to participate in the seminar, please contact the coordinator.

There will be two speakers in each session. Most of the exercises in the book should be worked out. Much time shall be spent on the discussion of exercises.

Confirmed Participants:

• Lv Renjie(吕人杰) UTOPIAOFLRJ AT 163 DOT COM
• Wang Jun(王俊) WANSTEX AT GMAIL DOT COM
• Zhang Yuanzhao(章元肇) ZHANGYUANZHAO45 AT GMAIL DOT COM
• Li Shizhang(李时璋) LISHIZHANGPOPE AT 163 DOT COM
• Zheng Hu(郑虎) FREETIGER18 AT GMAIL DOT COM
• Guo Zhengyang(郭政扬) 1047610444 AT QQ DOT COM

For Freshmen and New-comers

Objectives of the seminar

• To get acquainted with abstract ideas and the abstract ways of thinking in mathematics.
• To learn how to express mathematical ideas precisely and lucidly
• To learn how to self-study.
• To learn how to communicate mathematically and exchange ideas with others.

On the presentations

1. Each presentation should be meticulously prepared, not only by the speaker, but also by the audience (in order to understand the talk).

2. Because of the time limit, you have to tailor the contents. Focus on the most central and essential ideas and leave out the secondary stuffs.

3. Definitions and theorems should always be stated clearly, precisely, and concisely.

4. Do not try to give all the details of a proof unless it involves useful techniques or it is very interesting. Just sketch the main line of thought.

5. Be prepared to answer and discuss any question posed by the audience.

6. For effective learning, English should be used as much as possible, at least for the blackboard writing.

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