[CvGmt News] [cvgmt seminar] The Heisenberg isoperimetric problem: an anisotropic version

[michele.miranda at unife.it]

The Heisenberg isoperimetric problem: an anisotropic version
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http://cvgmt.sns.it/seminar/802/

Date: Thursday, Apr 15, 2021

Time: 16:00

Place: University of Ferrara (On-line)

Speaker: Valentina Franceschi



Abstract. The Heisenberg group is a classical example of sub-elliptic geometry, which is the framework of a longstanding conjecture formulated by Pansu in 1982 about the shape of isoperimetric sets. 
In this talk, I will introduce Pansu’s conjecture, discussing the relations between the associated anisotropic perimeter measure and the ambient geometry. I will then present a generalization of the Heisenberg isoperimetric problem allowing for further anisotropies, and I will present a characterization of smooth isoperimetric sets in this framework, based on recent results obtained in collaboration with R.Monti, A.Righini, M.Sigalotti.

GoogleMeet link: https://meet.google.com/dif-qrmm-bgy