Introduction to Skinner-Urban’s Work on the Iwasawa Main Conjecture for GL2

DOI10.1007/978-3-642-55245-8_2zbMath1360.11115OpenAlexW996743387MaRDI QIDQ5261374

Xin Wan

Publication date: 3 July 2015

Published in: Contributions in Mathematical and Computational Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-55245-8_2

zbMATH Keywords

Selmer groups\(p\)-adic \(L\)-functionsIwasawa main conjectureKlingen Eisenstein series

Mathematics Subject Classification ID

Congruences for modular and (p)-adic modular forms (11F33) (p)-adic theory, local fields (11F85) Galois representations (11F80) Iwasawa theory (11R23)

Related Items (2)

Iwasawa theory for modular forms ⋮ Overview of Some Iwasawa Theory

Cites Work

• On \(p\)-adic analogues of the conjectures of Birch and Swinnerton-Dyer
• A p-adic measure attached to the zeta functions associated with two elliptic modular forms. I
• On ordinary \(\lambda\)-adic representations associated to modular forms
• A modular construction of unramified p-extensions of \(\mathbb{Q}(\mu_p)\)
• Special values of anticyclotomic \(L\)-functions.
• Divisibility of anticyclotomic \(L\)-functions and theta functions with complex multiplication
• The Iwasawa conjecture for totally real fields
• Heights of Heegner points on Shimura curves.
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