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Insitute of Mathematical Science

Seminar:A Revisit to the De Giorgi Conjecture: Savin’s Proof and Applications

Seminar| Institute of Mathematical Sciences

Time: Monday, April 21th, 2025,13:30-14:30

LocationIMS, RS408

Speaker: Ling Wang, Peking University


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



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