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.
Objectives of the seminar
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.