Monday, 17th of December 

Lecture 1 10.30  11.45 (Maciej Ulas) 
Contents: General definition of elliptic curves and basic facts about them. Reminder on algebraic number theory. Supersingular and ordinary elliptic curves. Hasse invariant. Definition of modular curves. 
Lecture 2 13.00  14.15 (Joachim Jelisiejew) 
Content: Formal groups as a local analogue of elliptic curves. Formal groups associated to elliptic curves. Examples with LubinTate extensions. LubinTate spaces. 
Lecture 3 14.35  15.50 (Krzysztof Górnisiewicz)

Contents: Modular curves as a moduli problem. Vector bundles on modular curves and their sections automorphic forms. Basic facts about the geometry of modular curves. Connections between LubinTate spaces and modular curves. 
Tuesday, 18th of December  
Lecture 4 10.30  11.45 (Adrian Langer) 
Contents: Complex and padic uniformisation of elliptic curves. Tate curve. Introduction to rigid analytic geometry of Tate. 
Lecture 5 13.00  14.15 (Michał Zydor) 
Contents: Why automorphic forms appear naturally in the context of Betti cohomology of modular curves. About Matsushima formula. 
Lecture 6 14.35  15.50 (Przemysław Chojecki) 
Contents: Reminder on etale cohomology in the context of elliptic and modular curves. Applications of Iadic cohomology in Matsushima formula. 
Wednesday, 19th of December  
Lecture 7 10.30  11.45 (Grzegorz Banaszak) 
Contents: Why do we want to construct Galois representations? Applications. 
Lecture 8 13.00  14.15 (Bartosz Naskręcki) 
Contents: Construction of Galois representations associated to modular forms of weight 2. 
Lecture 9 14.35  15.50 (Przemysław Chojecki) 
Contents: Cohomology of modular curves in the context of Langlands program. 