Speaker:
Jesse Kass:
Title:
How to make Poincaré Duality into a regular morphism
Abstract:
Poincaré Duality of a smooth complex curve -- the duality
isomorphism that describes how cycles intersect -- can be realized by a
holomorphic map between complex manifolds called the Abel map. Starting
with the definition of the Abel map, I review this result and then
explain how it extends to singular curves. In doing so, I describe the
compactified Jacobian of a curve with ordinary n-fold singularities and,
if time permits, discuss some connections with Dima Arinkin's work on
autoduality. This work is joint with Kirsten Wickelgren.
