**189-727A:** Deformation Theory and Iwasawa Theory

**Professor:** Ravi Ramakrishna

**TA:** Henri Darmon

**Classes: ** MW 10:30- 12:30.

**Room: ** BH 1120.

**Outline**:

The seminar will be devoted to a study of the following two articles, with a
special emphasis on the interrelations between them and on the use of
``special primes" to control the behaviour of deformation rings.

1.
Ravi Ramakrishna, *Deforming Galois representations and the conjectures
of Serre and Fontaine-Mazur*, Annals of mathematics, to appear.
(dvi,
ps)

Supplementary reference:

Richard Taylor, *On icosahedral Artin representations II*,
American Journal of Mathematics, to appear.
(dvi,
ps)

2.
Massimo Bertolini and Henri Darmon,
*Iwasawa's Main Conjecture
for Elliptic Curves over Anticyclotomic Z*_{p}--extensions.
(dvi,
ps)

**Course Schedule**: