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[Lecture] Properties of polynomial maps and two-dimensional Jacobian conjecture
Oct. 14, 2022


Speaker: Su Yucai, Tongji University

Time: 15:30-16:30 pm, October 14, 2022, GMT+8

Venue: Zoom Meeting ID: 862 062 0549 Code:2022

Abstract:

For any two polynomials on two variables with a nonzero Jacobian determinant, there corresponds a polynomial map known as a Keller map. In this talk, the speaker will report 3 properties of Keller maps, which are used to give a proof of two-dimensional Jacobian conjecture in the speaker’s paper entitled ``a proof of 2-dimensional Jacobian conjecture'' at arXiv:1603.01867.

Biography:

Yucai Su is a professor in Tongji University and Jimei University. He has successively worked as a visiting scholar and postdoctoral researcher in Queen Mary and Westfield College, University of London, Concordia University, and University of Quebec at Montreal for 7 years. His main research interests include Lie algebras, representation theory and Jacobian problem. In particular, he has been studied the Jacobian Conjecture for eighteen years.  He is an editor of Algebra Colloquium and Journal of Mathematical Study, and published over 100 papers in Adv. Math., J. Eur. Math. Soc., Proc. London Math. Soc., Comm. Math. Phys., Math. Z., Israel J. Math., etc.  Recently, using local bijectivity of Keller maps, he solved the 2-dimensinal Jacobian Conjecture.

Source: SRMC