Previous Conferences & Workshops

The Weil pairing is a bilinear form associated to an algebraic curve. I will tell you about it and why it is interesting to cryptographers. Then I'll talk about my (completely unsuccessful) attempts to make an interesting trilinear analogue.

In the last two decades there has been much study of what happens when an algebraic curve in \(n\)-space is intersected with two multiplicative relations
\[x_1^{a_1} \cdots x_n^{a_n} = x_1^{b_1} \cdots x_n^{b_n} = 1 \tag{\(\times\)}\]
for \((a_1,...