## The Weil Pairing and its efficient calculation

### Victor Miller, Center for Communications Research at Princeton

The Weil Pairing, first introduced by Andre Weil in 1940, plays an
important role in the theoretical study of the arithmetic of elliptic
curves and Abelian varieties. It has also recently become extremely
useful in cryptologic constructions related to those objects. In this
paper, I'll give the definition of the Weil Pairing, describe
efficient algorithms to calculate it, give two applications and
describe the motivation to considering it.

16 May (Tuesday) at 1630 hrs
Gates 4B (opposite 490)