Abstract: In this talk, I will first introduce the Allen–Cahn equation and the related De Giorgi conjecture. I will then present the key ideas and a detailed sketch of Savin's groundbreaking proof in dimensions up to 8. Building on Savin's framework, I will discuss a half-space version of De Giorgi’s conjecture, based on joint work with Wenkui Du and Yang Yang.

Bio: Ling Wang is currently a postdoctoral researcher at Bocconi University in Milan, Italy, working under the supervision of Prof. Antonio De Rosa. He received his Ph.D. in Mathematics from the School of Mathematical Sciences, Peking University, under the supervision of Prof. Bin Zhou. His research interests are primarily in geometric analysis and nonlinear PDEs.

Zoom meeting: link             ID: 889 3611 0023              Password: 928471