Professor Manuel Ritoré Lecture

Please join the Mathematics Department in welcoming Professor Manuel Ritoré. Professor Manuel Ritoré from the University of Granada is well known for a complete classification of double bubbles in the 3-dimensional space. A "standard double bubble'' is made of three pieces of round spheres, meeting along a common circle at an angle of 120 degrees. Manuel Ritoré in a joint work with M. Hutchings, F. Morgan and A. Ross (Ann. Math. 2002) proved the celebrated double bubble conjecture which asserts that the unique perimeter-minimizing double bubble enclosing regions of prescribed volumes is a standard double bubble. Prof. Ritoré will be giving 2 special lectures in Septmeber. Below is the information on his upcoming talk:

Title:

Tubular Neighbors for the Carnot-Caratheodory Distance in the Heisenberg Group

Abstract:

We consider the Carnot-Carathéodory distance to a closed set in the sub-Riemannian Heisenberg groups H n . General regularity properties are proven under mild conditions involving a general notion of singular points. In the case where E is a Euclidean Ck submanifold, it is proven that the distance is Ck out of the singular set. Explicit expressions for the volume of the tubular neighborhood when the boundary of E is of class C2 are obtained, out of the singular set, in terms of the horizontal principal curvatures of ∂E and of the function ⟨N,T⟩/|Nh| and its tangent derivatives. Geometric applications will be indicated.

September 25, 2019 - 3:00pm to 5:00pm

Location and Address

427 Thackeray Hall

Speaker Information

Manuel Ritoré

University of Granada, Spain