On Wednesday, November 1st, we will finish Chapter 4.
The first session of the monthly seminars will take place on Thursday, October 26th, at 13:30 (Tehran time) in Lecture Hall 1. Here is the poster for the talk.
Title: Decoding Modular Forms…
Speaker: Jafar Shaffaf, from Shahid Beheshti University
Reading Material: Sections 1 and 2 of Chapter VIII from [BA] and Chapter 2 of [S] (after having read the material from [BA]).
Exercises: [S]: 2.4, 2.20, 2.21, 2.25, 2.27, 2.29, 2.35, 2.40, 2.43, 2.47, 2.50.
- [BA] A. Knapp, Basic Algebra
- [S] R. Y. Sharp, Steps in Commutative Algebra
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
We have started a long-term program on Algebraic Geometry and Number Theory. Please visit this page for more details…
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.