Time: 13:00-17:00, Wednesday, December 18, 2024

Venue: E4-233

Host: Thierry De Pauw, ITS

Speaker: Dong Ye, East China Normal University

Biography: Dong Ye is a Professor of Mathematics at East China Normal University. His main research interest is Nonlinear Partial Differential Equations and Geometric Analysis. He received BS in Mathematics from Wuhan University in1990, DEA in Applied Mathematics from University of Paris Orsay in 1991. In 1994, he obtained his Ph.D. in Mathematics from École Normale de Cachan with Professor Frédéric Hélein. After that, he was Maître de conférences at University of Cergy-Pontoise from 1994 to 2008. Subsequently, he held the position of Professor at the University of Lorraine from 2008 to 2018. Since 2018, he has been a Professor at East China Normal University.

Title: Prescribing the volume form and the Jacobian determinant equation

Abstract: I will talk about the problem to prescribe the Jacobian determinant or the volume form, present some classical and more recent results on this problem. I will mention also the understanding of the Jacobian determinant for homeomorphisms in Sobolev spaces, and the associated density problem.