ICTS:32604

Uniqueness to the Plateau problem near quadratic cones

(2025). Uniqueness to the Plateau problem near quadratic cones. SciVideos. https://scivideos.org/index.php/icts-tifr/32604

Uniqueness to the Plateau problem near quadratic cones. SciVideos, Aug. 18, 2025, https://scivideos.org/index.php/icts-tifr/32604 

          @misc{ scivideos_ICTS:32604,
            doi = {},
            url = {https://scivideos.org/index.php/icts-tifr/32604},
            author = {},
            keywords = {},
            language = {en},
            title = {Uniqueness to the Plateau problem near quadratic cones},
            publisher = {},
            year = {2025},
            month = {aug},
            note = {ICTS:32604 see, \url{https://scivideos.org/index.php/icts-tifr/32604}}
          }
Vishnu Nandakumaran
Talk numberICTS:32604
Source RepositoryICTS-TIFR

Abstract

I shall consider minimal hypersurfaces inside the unit ball whose boundary on the sphere is a small perturbation of the link of a minimizing quadratic cone. In this talk, I will discuss a recent result where I show that such minimal surfaces are uniquely determined by their boundary condition. In particular the solutions of the Plateau problem are unique for boundary conditions given by small perturbations of the link of a quadratic cone. Building on previous results we can characterize these unique surfaces. This is a joint work with Gábor Székelyhidi.