On Wednesday, October 25th, we will finish Chapter 3, and discuss section 4.1 up to Theorem 4.8 (always from Saito’s book).
Reading Material: Sections 4 and 5 of Chapter IV from [BA]. I also recommend reading Chapter 1 of [S] (after having read the material from [BA]).
Exercises: [S]: 1.19, 1.29, 1.35, 1.36, 1.37.
- [BA] A. Knapp, Basic Algebra
- [S] R. Y. Sharp, Steps in Commutative Algebra
On Wednesday, October 17th, we will discuss sections 3.7 and 3.8. (always from Saito’s book).
Reading Material: Chapters 1, 2, and 3 of [CA]. Please also read Sections §1.1, §1.3, and §1.4 of [B].
Exercises: [CA]: 1.1, 2.14 and 3.20.
[B]: §1.1: 2, 4, 6a, 6b, §1.3: 1, 2, 4, 5, §1.4: 1, 2, 3, 4, 5, 6.
- [B] S. Bosch, Algebraic Geometry and Commutative Algebra
- [CA] J. Milne, A Primer on Commutative Algebra
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On Wednesday, October 11th, we will discuss sections 3.6 and 3.7. up to Proposition 3.50 (always from Saito’s book).
On Wednesday, October 4th, we will discuss sections 3.4 and 3.5. of Saito’s book.
The following are interesting and nice texts on Galois representations:
- Chapters I and II of the chapter An Introduction to the Deformation Theory of Galois Representations by Barry Mazur from the book Modular Forms and Fermat’s Last Theorem (Cornell, Silverman, and Stevens).
- Chapter 2 of the lecture notes on Galois Representations by Gabor Wiese.
On Wednesday, September 27th, we will discuss sections 3.3 and 3.4. of Saito’s book.
The following are interesting and nice texts on Galois representations:
- Chapters I and II of the chapter An Introduction to the Deformation Theory of Galois Representations by Barry Mazur from the book Modular Forms and Fermat’s Last Theorem (Cornell, Silverman, and Stevens).
- Chapter 2 of the lecture notes on Galois Representations by Gabor Wiese.
On Wednesday, September 20th, we will continue our discussions of sections 3.1 and 3.2. of Saito’s book.
On Wednesday, September 13th, we will discuss sections 3.1 and 3.2. of Saito’s book.