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, we list
[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:

• Lie theory of p-adic Lie groups (algebraic theory and p-adic theory),
• How to to show irreducibility in the p-adic case (e.g. [GME] Section 4.3),
• How to measure the image via Lie theory in the p-adic case (e.g. [GME] Section 4.3),
• All of the above in the Lambda-adic cases.
  

• Related topics could be touched upon in Math 290B student seminar on Wednesdays at 4:30pm-5:50pm in MS 5138 (students are encouraged to attend).

Prerequisite:
Good understanding of the material covered by Math 210 series (including commutative and non-commutative algebra theory) and algebraic number theory.