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.
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.
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 |
|
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| Feb. 23 |
(UNOFFICIAL TITLE) Ordinary p-adic forms, Hida Families (II) |
Hung Chiang |
|
|
| Mar. 02 |
Spring Break - No Lecture |
|
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| Mar. 09 |
(UNOFFICIAL TITLE) \Lambda-adic Galois representations |
Avi Zeff |
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| Mar. 16 |
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| Mar. 23 |
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| Mar. 30 |
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| Apr. 06 |
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| Apr. 13 |
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| 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