# Mathematical Sciences Research Institute

Home » Postdoc Lunch Seminar II: A frame energy for immersed tori

# Seminar

Postdoc Lunch Seminar II: A frame energy for immersed tori April 15, 2016 (01:10 PM PDT - 02:00 PM PDT)
Parent Program: Differential Geometry MSRI: Simons Auditorium
Speaker(s) Andrea Mondino (University of Warwick)
Description No Description
Video
In the seminar I will present some joint work with T. Rivière where we study the Dirichlet energy of moving frames on 2-dimensional tori immersed in the euclidean $3\leq m$-dimensional space.  This functional, called Frame energy, is naturally linked to the Willmore energy of the immersion and on the conformal structure of the abstract underlying surface. I will discuss a ''Willmore Conjecture'' type lower bounds for such energy,  then I will introduce basic tools for doing the calculus of variations and finally I will give applications to regular homotopy classes of immersed tori in R^3.