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# Résultats de recherche

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## Tatiana Toro - Geometry of measures and applications (Part 3)

In the 1920's Besicovitch studied linearly measurable sets in the plane, that is sets with locally finite "length". The basic question he addressed was whether the infinitesimal properties of the "length" of a set E in the plane yield geometric information on E itself. This simple question marks the beginning of the study of the geometry of measures and the associated field known as Geometric Measure Theory (GMT).In this series of lectures we will present some of the main results in the area concerning ... Voir la vidéole (1h27m38s)

## Tatiana Toro - Geometry of measures and applications (Part 4)

In the 1920's Besicovitch studied linearly measurable sets in the plane, that is sets with locally finite "length". The basic question he addressed was whether the infinitesimal properties of the "length" of a set E in the plane yield geometric information on E itself. This simple question marks the beginning of the study of the geometry of measures and the associated field known as Geometric Measure Theory (GMT).In this series of lectures we will present some of the main results in the area concerning ... Voir la vidéole (1h47m11s)

## Tatiana Toro - Geometry of measures and applications (Part 5)

In the 1920's Besicovitch studied linearly measurable sets in the plane, that is sets with locally finite "length". The basic question he addressed was whether the infinitesimal properties of the "length" of a set E in the plane yield geometric information on E itself. This simple question marks the beginning of the study of the geometry of measures and the associated field known as Geometric Measure Theory (GMT).In this series of lectures we will present some of the main results in the area concerning ... Voir la vidéole (1h20m37s)

## Joseph Fu - Integral geometric regularity (Part 2)

In the original form given by Blaschke in the 1930s, the famous Principal Kinematic Formula expresses the Euler characteristic of the intersection of two sufficiently regular objects in euclidean space, integrated over the space of all possible relative positions, in terms of geometric invariants associated to each of them individually. It is natural to wonder about the precise regularity needed for this to work. The question turns on the existence of the normal cycle of such an object A, i.e. an integral current that stands ... Voir la vidéole (1h21m42s)

## Joseph Fu - Integral geometric regularity (Part 3)

In the original form given by Blaschke in the 1930s, the famous Principal Kinematic Formula expresses the Euler characteristic of the intersection of two sufficiently regular objects in euclidean space, integrated over the space of all possible relative positions, in terms of geometric invariants associated to each of them individually. It is natural to wonder about the precise regularity needed for this to work. The question turns on the existence of the normal cycle of such an object A, i.e. an integral current that stands ... Voir la vidéole (1h24m25s)

## Joseph Fu - Integral geometric regularity (Part 4)

In the original form given by Blaschke in the 1930s, the famous Principal Kinematic Formula expresses the Euler characteristic of the intersection of two sufficiently regular objects in euclidean space, integrated over the space of all possible relative positions, in terms of geometric invariants associated to each of them individually. It is natural to wonder about the precise regularity needed for this to work. The question turns on the existence of the normal cycle of such an object A, i.e. an integral current that stands ... Voir la vidéole (1h13m21s)

## Joseph Fu - Integral geometric regularity (Part 5)

In the original form given by Blaschke in the 1930s, the famous Principal Kinematic Formula expresses the Euler characteristic of the intersection of two sufficiently regular objects in euclidean space, integrated over the space of all possible relative positions, in terms of geometric invariants associated to each of them individually. It is natural to wonder about the precise regularity needed for this to work. The question turns on the existence of the normal cycle of such an object A, i.e. an integral current that stands ... Voir la vidéole (2h2m57s)

## Lars Andersson - Geometry and analysis in black hole spacetimes (Part 1)

Black holes play a central role in general relativity and astrophysics. The problem of proving the dynamical stability of the Kerr black hole spacetime, which is describes ... Voir la vidéole (2h56s)