Working Seminar on Algebraic Number Theory

Class groups and Galois cohomology

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 5.1.20 of Romyar's AMS notes (as a black box).
  • Proposition 4.2: the relationship between cup product and lambda-invariant.

Date & Time

February 21, 2019 | 2:15pm – 4:15pm

Location

Princeton University, Fine 1201

Speakers

Shilin Lai

Affiliation

Princeton University

Event Series

Categories