Minimal surfaces in spheres and random permutations
Recent progress on geometric analysis and Riemannian geometry October 21, 2024 - October 25, 2024
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Primary Mathematics Subject Classification
No Primary AMS MSC
Secondary Mathematics Subject Classification
No Secondary AMS MSC
Minimal surfaces in spheres and random permutations
Minimal surfaces in spheres, which are invariant by a group of symmetries, are closely related to group theory, hyperbolic geometry and geometric topology. In this talk, I will discuss a new connection with random matrices. As we will explain, from two permutations, one can associate a 2d minimal surface in a Euclidean sphere. The main property is a probabilistic rigidity phenomenon: if the two permutations are chosen uniformly at random, then with high probability, the minimal surface has a geometry close to that of the hyperbolic plane.
Minimal surfaces in spheres and random permutations
Please report video problems to itsupport@slmath.org.
See more of our Streaming videos on our main VMath Videos page.