Mini Course: p-adic L-functions

Title: p-adic L-functions

Speaker: Yangyu Fan

Lecture 1 Serre’s p-adic Modular Forms and the Kubota–Leopoldt p-adic L-functions

Lecture 2 Rankin–Selberg p-adic L-functions I: U_p-operator and p-adic Measures

Lecture 3 Rankin–Selberg p-adic L-functions II: Hida’s Linear Functional

Lecture 4 p-adic Rankin Series for a Modular Form over a CM Field

Lecture 5 Katz’s Geometric p-adic Modular Forms

Lecture 6 BDP p-adic L-functions I: Waldspurger Formula and Damerell’s Theorem

Lecture 7 BDP p-adic L-functions II: Atkin–Serre Operator, Splittings, and the Explicit Reciprocity Law

Lecture 8 Finite Slope Rankin–Selberg p-adic L-functions

Lecture 9 Nearly Overconvergent Modular Forms and the p-adic Gauss–Manin Connection

Lecture 10 Non-split BDP p-adic L-functions