Geometric Structures seminar - Valentino Magnani - December 15, 2022 - 2:00 pm (Rome time) - hybrid

[Miruna - Stefana Sorea]

Dear All,

This is to remind you about today's seminar from the series "Geometric Structures".

Speaker: Valentino Magnani (University of Pisa)<https://people.dm.unipi.it/magnani/>

Title: Surface area on sub-Riemannian measure manifolds

Time: Thursday, December 15-th, 2022, 2:00 pm (Rome time)
Venue: in room 133 at SISSA
on zoom at this link:
https://sissa-it.zoom.us/j/85675591787?pwd=TUo2VXpmcEhOU1paRzBXUWp2MU1odz09
Passcode: geometry

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Abstract: We present an area formula in equiregular sub-Riemannian measure manifolds. The perimeter measure of a smooth bounded open set is related to the spherical measure of its boundary, using the sub-Riemannian distance. To perform the intrinsic blow-up at the boundary new difficulties appear, that also involve the nilpotent approximation of the sub-Riemannian manifold. The density of the perimeter measure naturally arises as a geometric invariant that can be explicitly related to different objects, like the nilpotent approximation, the tangent Riemannian metric and the shape of the tangent unit ball. The area formula for the perimeter measure is achieved by showing that this invariant is equal to the Federer density. These results are a joint work with Sebastiano Don (Brescia University).
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More information can be found here: https://sites.google.com/view/geometric-structures/
Everyone is welcome!


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Miruna-Stefana Sorea
Postdoctoral Researcher
Scuola Internazionale Superiore di Studi Avanzati (SISSA), Trieste, Italy
https://sites.google.com/view/mirunastefanasorea/