Meeting Time: Regularly Mondays and Wednesdays 12:00 noon to
1:50 pm in MS 5233 and some Fridays 12:00 noon to 12:50 pm in MS 5233
(Friday meetings will be announced in the class before the meeting day).
Texts: Lecture notes will be posted. The introduction of the notes:
Notes (face page, pdf file, posted) Notes (pdf file, expanded to cover up to the middle part covering lectures for 5-6 weeks, posted); Reference (a list of references, posted)
As reference books,
[LFE]:"Elementary Theory of L-functions and Eisenstein Series," LMSST 26, Cambridge University Press, Cambridge, 1993, Chapters 5, 7
[GME]:"Geometric Modular Forms and Elliptic Curves," (World Scientific) First (2000) or Second edition (2011), Chapters 1, 2 and 4
[ALR]: Serre's book: "Abelian l-Adic Representations and Elliptic Curves," any edition, for example, Research Notes in Mathematics 7, A K Peters, 1998
Topics: I would touch the following topics in this course:
Good understanding of the material covered by Math 210 series (including commutative and non-commutative algebra theory) and algebraic number theory.