Informal Geometric Analysis Seminar

Title: The Allen-Cahn equation and free boundary minimal surfaces
Speaker: Lorenzo Sarnataro
Speaker Info: Princeton
Brief Description:
Special Note:

In recent years, the combined work of Guaraco, Hutchinson, Tonegawa, and Wickramasekera has established a min-max construction of minimal hypersurfaces in closed Riemannian manifolds, based on the analysis of singular limits of sequences of solutions of the Allen—Cahn equation, a semi-linear elliptic equation arising in the theory of phase transitions. In this talk, I will describe some recent boundary regularity results for such limit-interfaces, which provide the first step towards an Allen—Cahn min-max construction of free boundary minimal hypersurfaces in Riemannian manifolds with boundary. This is based on joint work with Martin Li (CUHK) and Davide Parise (UCSD).
Date: Thursday, May 02, 2024
Time: 11:00am
Where: Lunt 107
Contact Person: Gabor Szekelyhidi
Contact email: gaborsz@northwestern.edu
Contact Phone:
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