ABHYANKAR 82nd BIRTHDAY CONFERENCE 

SPEAKER: Wenhua Zhao (Illinois State)

TITLE: Differential Equation and Differential Operator Approaches of  
      the Jacobian Conjecture.

ABSTRACT: We first discuss some equivalent formulations of the  
Jacobian conjecture in terms of the Inviscid Burgers' Equation, the  
heat equation and  the Laplace Operator. We then discuss the Image  
conjecture, a conjecture on  images of differential operators of order  
one with constant leading  coefficients, and its relation with the  
Jacobian conjecture.