Seminar

# Area of intrinsic graphs in homogeneous groups

Regular seminar of the Department of Mathematics

Series:

23 November 2023

Start time

2:30 pm

PovoZero - Via Sommarive 14, Povo (Trento)

Seminar room "1"

Target audience:

University community

UniTrento students

Attendance:

Free

Contact person:

Andrea Pinamonti, Andrea Marchese, Paolo Bonicatto

Contact details:

Università degli Studi Trento 38123 Povo (TN) - Staff Dipartimento di Matematica

+39 04 61/281508-1625-1701-3786-1980

Speaker:

Valentino Magnani (Università di Pisa)

## Abstract

We introduce an area formula for computing the spherical measure of an intrinsic graph of any codimension in an arbitrary homogeneous group.

Our approach only assumes that the map generating the intrinsic graph is continuously intrinsically differentiable. The important novelty lies in the notion of Jacobian, which is built by the auxiliary Euclidean distance.

The introduction of this Jacobian allows the spherical factor to appear in the area formula and enables explicit computations.

## Past events

Previous seminars here