Number Theory Seminar - Winter 2021

p-adic Modular Forms and p-adic L-functions


Description
I organised an online seminar on p-adic modular forms and p-adic L-functions at Columbia University. It is focused on the theory of p-adic modular forms. It is mostly arithmetically inclined but the geometric point of view is still relevant. Some topics included (in no particular order) are : Hida families, p-adic L-functions, overconvergent modular forms, Iwasawa theory, Stark-Heegner points and computational aspects of the theory.
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Relevant information
Time: Tuesday, 10:00AM-11:15AM (Eastern Time)
Zoom Meeting ID : 917 3408 7965.
Password : Constant term in q-expansion of the modular j-function.
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Schedule
Date Title Speaker Reference Notes
Jan. 26 Motivation : On Congruences of Modular Forms David Marcil [H2]
Feb. 02 (UNOFFICIAL TITLE) p-adic Hecke L-functions Baiqing Zhu
Feb. 09 (UNOFFICIAL TITLE) Iwasawa Theory Yu-Sheng Lee
Feb. 16 (UNOFFICIAL TITLE) Ordinary p-adic forms, Hida Families (I) Hung Chiang
Feb. 23 (UNOFFICIAL TITLE) Ordinary p-adic forms, Hida Families (II) Hung Chiang
Mar. 02 Spring Break - No Lecture
Mar. 09 (UNOFFICIAL TITLE) \Lambda-adic Galois representations Avi Zeff
Mar. 16
Mar. 23
Mar. 30
Apr. 06
Apr. 13
Apr. 20
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References
[H1] Hida - Elementary Theory of L-functions and Eisenstein Series
[H2] Hida - Congruences of Cusp Forms and Special Values of L-functions