CHRIS WILLIAMS
COURSE ON pADIC LFUNCTIONS
In the spring term of 2020 (January  March), I gave a TCC course on padic Lfunctions and Iwasawa theory.
The first half of the course was a modified version of the London Taught Course Centre course I gave with Joaquín Rodrigues Jacinto in 2017, titled 'An introduction to padic Lfunctions'.
Lecture notes
There are two sets of lecture notes, treating the two halves of the course. The first set covers the case of GL(1)  that is, the Riemann zeta function and Dirichlet Lfunctions  and was written jointly with Joaquín Rodrigues Jacinto. The second set covers the case of GL(2), that is, the case of modular forms and elliptic curves.

Lecture notes, Part I: padic Lfunctions for GL(1) and the Iwasawa main conjecture

Lecture notes, Part II: padic Lfunctions for modular forms
Exercise sheets

Exercise sheet 1  (The KubotaLeopoldt padic Lfunction)

Exercise sheet 2  (Iwasawa main conjecture for GL(1))

Exercise sheet 3  (Modular forms and padic distributions)

Bonus exercises  (padic Lfunctions over number fields, Bernoulli distributions)