On the Newton polytope of a Jacobian pair. Leonid Makar-Limanov. Algebra and Logic. Sofia
Channel: Institute of Mathematics and Informatics - BAS
Date: 2021-02-24

Institute of Mathematics and Informatics, Bulgarian Academy of Sciences
Seminar of Algebra and Logic
February 12, 2021 

On the Newton polytope of a Jacobian pair
 
Leonid Makar-Limanov (Wayne State University, Detroit, USA and Weizmann Institute of Science, Rehovot, Israel).

Abstract: First, I remind what is the Jacobian Conjecture and talk about some history related to it. Then I'll briefly explain what is the “shape” of a minimal counterexample to the conjecture. After that the Newton polytope related to a “minimal” counterexample to the Jacobian conjecture will be introduced and described. This description allows to obtain the best known estimate for the geometric degree of the polynomial mapping given by a Jacobian pair.