Projective geometry approach to Jacobian Conjecture

Abstract: acobian Conjecture is one of the oldest unsolved problems in Algebraic Geometry, going back to a 1939 paper by Keller. It is infamous for the large number of incorrect proofs that have been proposed over the years. In fact, it is quite possible that the conjecture is false, especially in higher dimensions. For the past 10-15 years I have been making slow but steady progress in understanding this enigma in dimension two, using classical methods of algebraic geometry of projective surfaces and some inspiration from the Minimal Model Program. I will explain my approach and where it has led me, and will also discuss some related conjectures.

algebraic geometry

Audience: researchers in the topic

ZAG (Zoom Algebraic Geometry) seminar

Series comments: Description: ZAG seminar

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