Title: Iwasawa theory and the Birch and Swinnerton-Dyer conjecture
Speaker: Sujatha Ramdorai (University of British Columbia, Vancouver, Canada)
Date: 01 September 2015
Time: 2 pm
Venue: LH-2, Mathematics Department
The celebrated BSD conjecture predicts a deep and mysterious relationship between the algebraic rank of an elliptic curve defined over a number field and an arithmetic invariant arising front he L-function of the elliptic curve. More amazingly, it predicts an exact formula for the leading term of the L-function. Iwasawa theory has proven to be an effective tool in trying to explain the philosophy behind such a mysterious relationship and also in establishing the conjecture in certain cases. We shall outline this theory and discuss its applications.