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Welcome! This site is the homepage of the Seminar on Iwasawa Theory And Ramification (SITAR), a student learning seminar on Iwasawa theory at Emory University from Spring 2018.

Organized by Jackson S. Morrow & David Zureick-Brown.

The seminar will be held on Wed. from 1:00 pm -- 3:00 pm in room W302.

Goals:
  1. Learn about interactions between analytic and algebraic number theory
  2. Understand the proof of the Main Conjecture of Iwasawa theory in simplest case
  3. Prepare for the 2018 Arizona Winter School
References to be followed/surveys:
  1. Coates and Sujatha, Cyclotomic Fields and Zeta Values
  2. Washington, Introduction to Cyclotomic Fields*
  3. Sharifi, Iwasawa Theory
  4. Kato, Iwasawa theory and generalizations
*Email me at jmorrow4692@gmail.com for a copy.

The below schedule is tentative and will be updated throughout. Here is a preliminary syllabus for the seminar.

DateSpeaker Topic Notes
 1/19 Jackson
Motivation (Coates--Sujatha, 1.1--1.3)
Statement of results (Coates--Sujatha, 1.4 --1.5)
 Link
1/24
Vicman
Jackson
A Theorem of Coleman (Coates--Sujatha, 2.1-- 2.3)
Logs and Derivatives (Coates--Sujatha, 2.4 -- 2.6)
 Link
1/31Libby
Jackson
p-adic measures (Coates--Sujatha, 3.1-- 3.3)
Fundamental Exact Seq. (Coates--Sujatha, 3.4 -- 3.5)
 Link
 2/7Lea
Jackson
Iwasawa's theorem (Coates--Sujatha, 4.1-- 4.4)
Relation to Main Conj. (Coates--Sujatha, 4.4 -- 4.7)
 Link
2/14 
Euler systems I (Coates--Sujatha, 5.1-- 5.3)
Euler systems II (Coates--Sujatha, 5.4 -- 5.5)
 Link
 2/21
Jackson
The Main Conjecture (Coates--Sujatha, 6.1 -- 6.3) Link
2/28 TBDTBD