¨ Ralph Greenberg, June 15-July 13, the first lecture will start at 9:30 on June 15.

Title: Introduction to Iwasawa Theory

Abstract: This course will be a broad introduction to the ideas of Iwasawa Theory as they have developed over its long history. We will start with studying the behavior of ideal class groups in a $\ZZ_p$-extension of a number field. The main objective will be to formulate Iwasawa's Main Conjecture. Then we will study the analogous questions for elliptic curves. Finally, we will describe how these special cases fit into a vastly more general framework.