Speaker

:

Dr. Tejaswi Navilarekallu

Affiliation

:

Indian Institute of Science
 

Subject Area

:

Mathematics

Venue

:

Lecture Hall I, Dept of Mathematics

Time

:

4.00 pm

Date  

:

Friday, 13th October 2006

Event Title

:

Birch and Swinnerton - Dyer Conjecture

In number theory, various artimetical properties hold the key to the solutions of many problems. These properties are believed to be intrinsically encoded in certain zeta functions defined using the geometry of the underlying object. Among such relations, the conjecture of Birch and Swinnerton-Dyer is considered as the most remarkable one. This conjecture relates the special value of the Zeta function associated to an elliptic curve to various arithmetic invariants of the curve. In this talk we shall give an introduction to this conjecture, indicate its importance and mentioned some of the recent developments.