Iwasawa cohomology

Number theory seminar

(Iwasawa Theory Learning Seminar)

References:

 

 

Tuesday, March 4, 2025 - 11:00 to 12:00

Room 427

Speaker Information
Carl Wang-Erickson

Notes

References:

-[WWE1, Lemma 6.1.1]: The basic statement of what Iwasawa cohomology is and why it works.

-[WWE1, Lemma 6.1.2]: Basic (global with restricted ramification) Kummer theory.

-[WWE1, Section 6.2]: Global (restricted ramification) cohomology with compact support.

-[WWE2, Proposition 2.2.1]: A description of how global cohomology is dual to global cohomology with compact support. The spectral sequences that make this more concrete appear right after it.

-[CWE1, Proposition 3.5.1]: An anti-cyclotomic (over an imaginary quadratic field K) version of the LES of Iwasawa cohomology.

-[CWE1: Proposition 3.4.2]: General statement of the spectral sequence realizing global duality for Iwasawa cohomology.

 

CWE1: Class groups and local indecomposability for non-CM forms by F. Castella and C. Wang-Erickson.

WWE1: Pseudo-modularity and Iwasawa theory by P. Wake and C. Wang-Erickson.

WWE2: Ordinary pseudorepresentations and modular forms by  P. Wake and C. Wang-Erickson.