Institut Fourier
L’Institut Fourier, laboratoire de mathématiques de Grenoble, est une
unité mixte de recherche CNRS/Université Grenoble Alpes. Ses activités
portent principalement sur les mathématiques fondamentales développées
autour de six grands thèmes de recherche : algèbre et géométries,
combinatoire et didactique, géométrie et topologie, physique
mathématique, probabilités, théorie des nombres. Ses recherches
s’ouvrent aussi à d’autres disciplines, telles que la biologie,
l’informatique et la physique. Depuis 2011, l’Institut Fourier filme ses
évènements scientifiques tels que : colloques, séminaires, écoles
d’été, conférences grand public, …
Pour vous abonner au flux RSS de Institut Fourier, cliquez sur l’icône de votre lecteur favori :
Liste des programmes
We will discuss some recent work on the minimal model program (MMP) for foliations and explain some applications of the MMP to the study of foliation singularities and to the study of some hyperbolicity properties of foliated pairs. This features joint work with P. Cascini and R. Svaldi.
I will investigate the analytic classification of two dimensional neighborhoods of an elliptic curve C with trivial normal bundle and discuss the existence of foliations having C as a leaf. Joint work with Frank Loray and Sergey Voronin.
The Beauville-Bogomolov decomposition theorem asserts that any compact
Kähler manifold with numerically trivial canonical bundle admits an
étale cover that decomposes into a product of a torus, an irreducible,
simply-connected Calabi-Yau, and holomorphic symplectic manifolds. With
the development of the minimal model program, it became clear that
singularities arise as ...
The Beauville-Bogomolov decomposition theorem asserts that any compact
Kähler manifold with numerically trivial canonical bundle admits an
étale cover that decomposes into a product of a torus, an irreducible,
simply-connected Calabi-Yau, and holomorphic symplectic manifolds. With
the development of the minimal model program, it became clear that
singularities arise as ...
The Beauville-Bogomolov decomposition theorem asserts that any compact
Kähler manifold with numerically trivial canonical bundle admits an
étale cover that decomposes into a product of a torus, an irreducible,
simply-connected Calabi-Yau, and holomorphic symplectic manifolds. With
the development of the minimal model program, it became clear that
singularities arise as ...
Let
X be a holomorphic symplectic manifold and D a smooth hypersurface in
X. Then the restriction of the symplectic form on D has one-dimensional
kernel at each point. This distribution is called the characteristic
foliation. I shall survey a few results concerning the possible Zariski
closure of a general ...
Given
a totally nonholonomic distribution of rank two $\Delta$ on a
three-dimensional manifold $M$, it is natural to investigate the size of
the set of points $\mathcal{X}^x$ that can be reached by singular
horizontal paths starting from a same point $x \in M$. In this setting,
the Sard conjecture states ...
We
consider an algebraic $V$ variety and its foliation, both defined over a
number field. Given a (compact piece of a) leaf $L$ of the foliation,
and a subvariety $W$ of complementary codimension, we give an upper
bound for the number of intersections between $L$ and $W$. The bound
depends ...
Given
a projective algebraic orbifold, one can define associated logarithmic
and orbifold jet bundles. These bundles describe the algebraic
differential operators that act on germs of curves satisfying ad hoc
ramification conditions. Holomorphic Morse inequalities can be used to
derive precise cohomology estimates and, in particular, lower bounds for
the ...
I
will discuss dynamical properties of the Jouanolou foliation of the
complex projective plane in degree two. Joint work with Aurélien
Alvarez.
