Canal-U

Mon compte

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

The goal of this talk is to introduce a Gross--Zagier type formula, which relates the arithmetic self-intersection number of the Hodge bundle of a quaternionic Shimura curve over a totally real field to the logarithmic derivative of the Dedekind zeta function of the base field at 2. The proof is ...
Multicurves have played a fundamental role in the study of mapping class groups of surfaces since the work of Dehn. A beautiful method of describing such systems on the n-punctured disk is given bythe Dynnikov coordinate system.  In this talk we describe polynomial time algorithms for calculating the number of ...
In  the  first two lectures I will try to tell (or, rather, to  give  an  idea)  of  how  Maryam Mirzakhani has counted simple  closed  geodesics on hyperbolic surfaces. I plan to briefly  mention her count of Weil-Peterson volumes and her proof of Witten's conjecture, but only on the level of ...
In  the  first two lectures I will try to tell (or, rather, to  give  an  idea)  of  how  Maryam Mirzakhani has counted simple  closed  geodesics on hyperbolic surfaces. I plan to briefly  mention her count of Weil-Peterson volumes and her proof of Witten's conjecture, but only on the level of ...
In the principal stratum in genus two, McMullen observed that something odd happens - there is only one nonarithmetic Teichmuller curve - the one generated by the decagon.  This strange phenomenon begets another - a primitive translation surface in genus two admits a periodic point that is not a Weierstrass ...
The first part of the course will be devoted to some of the classicalresults about mapping class groups of finite-type surfaces. Topics may include: generation by twists, Nielsen-Thurston classification,abelianization, isomorphic rigidity, geometry of combinatorial models.In the second part we will explore some aspects of "big" mapping class groups, highlighting the ...
The first part of the course will be devoted to some of the classical results about mapping class groups of finite-type surfaces. Topics may include: generation by twists, Nielsen-Thurston classification, abelianization, isomorphic rigidity, geometry of combinatorial models. In the second part we will explore some aspects of "big" mapping class ...
Mathematicians have long understood periodic trajectories on the square billiard table. In the present work, we describe periodic trajectories on the regular pentagon – their geometry, symbolic dynamics, and  group  structure.   Some  of  the  periodic  trajectories  exhibit  a  surprising  "dense  but  not  equidistributed" behavior.  I will show pictures of periodic ...
The mini-course will focus on the properties of the monodromies of algebraic families of curves defined over the complex numbers. One of the goal will be to prove the irreducibility of those representations for locally varying families (Shiga). If time permit we will see how to apply this to prove ...
K3 surfaces provide a meeting ground for geometry (algebraic, differential), arithmetic, and dynamics. I hope to discuss: Basic definitions and examples- Geometry (algebraic, differential, etc.) of complex surfaces- Torelli theorems for K3 surfaces- Dynamics on K3s (Cantat, McMullen)- Analogies with flat surfaces- (time permitting) Integral-affine structures
 
FMSH
 
Facebook Twitter Google+
Mon Compte