Coordinator: Wang Jun(王俊)

Email: WANSTEX AT GMAIL DOT COM

Textbook: Algebra, by Michael Artin

11.2 Polynomial ring

11.3 Homomorphisms and ideals

Speaker: 王俊

11.5 Adjoining elements

11.6 Product rings

11.7 Fractions

Speaker: 肖羚晏

11.9 Algebraic geometry

Review of the exercises in Chapter 11

Speaker: 罗之麟

12.2 Unique factorization domains

12.3 Gauss’ Lemma

Speaker: 雷宇环

12.5 Gauss primes

Review of the exercises in Chapter 12

Speaker: 刘远通

13.2 Factoring algebraic integers

13.3 Ideals in Z[square root of (-5)]

13.4 Ideal multiplication

Speaker: 陈俊杰

13.6 Prime ideals and prime integers

13.7 Ideal classes

13.8 Computing the class group

Review of the exercises in Chapter 13

Speaker: 徐曦磊

13.10 About lattices

Review of the exercises in Chapter 13

Speaker: 肖羚晏

14.2 Free modules

14.3 Identities

Speaker: 陈俊杰

14.5 Generators and relations

14.6 Noetherian rings

14.7 Structure of abelian groups

Speaker: 肖羚晏

14.9 Polynomial rings in several
variables

Review of the exercises in Chapter 14

Speaker: 刘远通

9.2 Interlude: Spheres

9.3 The special unitary group SU2

Speaker: 罗之麟

9.5 One-parameter groups

9.6 The Lie algebra

Speaker: 陈俊杰

9.8 Normal subgroups of SL2

Review of the exercises in Chapter 9

Speaker: 徐曦磊

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

- Liu Yuantong(刘远通)
LIUTONG3246129 AT 163 DOT COM
- Xu Xilei(徐曦磊) ZJU DOT XUXILEI AT GMAIL DOT COM
- Luo Zhilin(罗之麟) ZHLN.L AT
LIVE DOT COM
- Xiao Lingyan(肖羚晏) ALWH2008 AT 163 DOT COM
- Chen Junjie(陈俊杰) 3110102415
AT ZJU DOT EDU DOT CN
- Lei Yuhuan(雷宇环) LEIYUHUAN01
AT QQ DOT COM

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.