Material for the class on October 4th

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.

Material for the class on September 27th

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.

Resumption of Fermat’s Last Theorem Class | Fall Semester 2023

Hello everyone,

We are excited to announce that our class will resume this week with a review of the last two chapters of Saito’s book. The first class will be held on Tuesday, September 5th, 2023 at 10:30 a.m. Tehran time (6 a.m. GMT).

Starting from next week, our class will continue to be held on Wednesdays as before.

As always, the class will be held in a hybrid mode, accommodating both in-person and online participation. If you plan to join the class online and need the link to access it, please contact me before the class date, and I will provide you with the necessary information.

If you have any questions or need further information, please don’t hesitate to contact me.

I look forward to seeing you in class!

Material for the class on May 3rd

In the next coming weeks, we will study Hilbert Modular Forms. We will read M. Dimitrov’s lecture notes, Arithmetic Aspects of Hilbert Modular Forms and Varieties. This is a Chapter of the book, Elliptic Curves, Hilbert Modular Forms and Galois Deformations, by L. Berger, G. Böckle, L. Dembélé, M. Dimitrov, T. Dokchitser, and J. Voight. If there is interest, we may go deeper into this topic, and perhaps read these Notes on The Arithmetic Of Hilbert Modular Forms, by A. Raghuram and N. Tanabe. This Introduction to Hilbert Modular Forms, by L. Dembélé is quite nice.

On May 3rd, we will keep discussing section 1 of Dimitrov’s notes. I suggest that beyond section 1, everybody browse these notes and other notes.

Material for the class on April 26th

In the next coming weeks, we will study Hilbert Modular Forms. We will read M. Dimitrov’s lecture notes, Arithmetic Aspects of Hilbert Modular Forms and Varieties. This is a Chapter of the book, Elliptic Curves, Hilbert Modular Forms and Galois Deformations, by L. Berger, G. Böckle, L. Dembélé, M. Dimitrov, T. Dokchitser, and J. Voight. If there is interest, we may go deeper into this topic, and perhaps read these Notes on The Arithmetic Of Hilbert Modular Forms, by A. Raghuram and N. Tanabe.

Next week, we will read section 1 of Dimitrov’s notes. I suggest that beyond section 1, everybody browse these notes and other notes. The next session will be an informal discussion about HMF’s.