KTH/SU Mathematics Colloquium

Oct. 4

N. Shepherd-Barron, Cambridge

Abelian varieties and their moduli.

ABSTRACT Cubic curves in the plane have a group law given by the chord and tangent process. Abelian varieties are higher-dimensional analogues of such objects; the basic examples are Jacobians of algebraic curves. This talk will be devoted first to describing these things, with their group law, in similar terms and then to discussing the geometry of their moduli spaces.