Some Open Problems in the Geometry of Complex Supercurves

Explore open problems in the geometry of complex supercurves in this 49-minute lecture by Jeffrey Rabin from the University of California, San Diego. Delivered as part of the Workshop on Supergeometry and Bracket Structures in Mathematics and Physics at the Fields Institute, delve into topics such as split supercurves, elliptic supercurves, spectral supercurves, divisors, duality, line bundles, Obl maps, Jacobi inversion, theta functions, prime forms, and super Riemann surfaces. Gain insights into the current challenges and potential research directions in this advanced area of mathematical physics.

Intro
Supercurves
Split supercurve
elliptic supercurves
spectral supercurves
split supercurves
elliptic supercurve
divisors
duality
picture changing
Line bundles
Open problems
Obl maps
Jacobi inversion
Theta functions
Prime form
Super Riemann surfaces
Summary