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Moduli Problems of Elliptic Curves Study Group

Outline and Introduction: Outline

References:

Katz-Mazur

Deligne-Rapoport

Explicit Arithmetic of Modular Curves

Date (Week) Talk Speaker  

Reference

(Katz-Mazur)

6/10/23 (1) Introduction Elvira notes  
13/10/23 (2) Modular Curves and Complex Elliptic Curves Edison notes  

20/10/23

(3)

Elliptic Curves over Schemes David notes Chapter 2

27/10/23

(4)

$\Gamma \left( n \right)$, $\Gamma_{1}\left( n \right)$, $\Gamma_{0}\left( n \right)$-structures Alvaro notes 3.1, 3.2, 3.3

3/11/23

(5)

Representability and the Category of Elliptic Curves Elvira notes 3.6, 3.7, 4.1, 4.2, 4.3

10/11/23

(6)

Properties of Moduli Problems of Elliptic Curves Katerina notes (4.4) - (4.13)

17/11/23

(7)

The First Main Theorem and its Corollaries Harry notes 5.1, 5.5, 5.6

24/11/23

(8)

Quotients by Finite Groups James notes Chapter 7

1/12/23

(9)

Coarse Moduli Schemes Kenji   8.1, 8.2, 8.3

8/12/23

(10)

Cusps and the Tate Curve Elvira