Lev Borisov

Elliptic functions and equations of modular curves

(Joint work with Paul Gunnells and Sorin Popescu)

Abstract: Let p>3 be a prime. We provide explicit embeddings of the modular curves X1(p) into projective spaces of dimension (p-3)/2 and show that their image is an intersection of explicit degree two hypersurfaces. I will keep the talk fairly elementary, with only basic complex analysis required to understand the key ideas of the construction.