Seminars Sorted by Series

From Romyar's AWS notes:

• Section 5.1, especially: Prop 5.1.5, Cor 5.1.9, Rem 5.1.10, Ex 5.1.11

From McCallum-Sharifi:

• Explain why $\mathbb{Q}(37^{1/37})$ has class number prime-to-37 (this is Cor 7.6). It may simplify the proof to use Cor 5...

Forthcoming work of Sharifi-Venkatesh.

From Romyar's AWS notes:

• Sections 4.1 and 4.2.

Regarding the proof of Ohta's comparison isomorphism:

• Discuss Fukaya-Kato Section 1.7, which explains some p-adic Hodge theory background.
• Discuss some elements of Ohta's proof, from Sections 3...

Introduce the L-function, and then the p-adic L-function, of a cusp form, and the of a Hida family of cups forms. What we need is in Fukaya-Kato Sections 4.4-4.5. See also: Mazur-Tate-Teitelbaum and Mazur's "Anomalous eigenforms" note.

State the main theorems of Fukaya-Kato and outline the proofs.

Give the details of the proof of "Theorem A" from week ten. Fukaya-Kato sections 6.3, 9.1-9.5.