MATH-410: Riemann surfacesThis course is an introduction to the theory of Riemann surfaces. Riemann surfaces naturally appear is mathematics in many different ways: as a result of analytic continuation, as quotients of complex domains under discontinuous group actions, as algebraic ...
PHYS-100: Physique avancée I (mécanique)La Physique Générale I (avancée) couvre la mécanique du point et du solide indéformable. Apprendre la mécanique, c'est apprendre à mettre sous forme mathématique un phénomène physique, en modélisant la situation et appliquant les lois de la physique. ...
MATH-322: Differential geometry II - smooth manifoldsSmooth manifolds constitute a certain class of topological spaces which locally look like some Euclidean space R^n and on which one can do calculus. We introduce the key concepts of this subject, such as vector fields, differential forms, etc. ...
PHYS-216: Méthodes mathématiques (pour SPH)Ce cours est un complément aux cours d'analyse et d'algèbre linéaire qui apporte des méthodes et des techniques mathématiques supplémentaires requises pour les cours de physique de 3e année, notamment l'électrodynamique et la mécanique quantique. ...
MATH-310: AlgebraThis is an introduction to modern algebra: groups, rings and fields. ...
MSE-203: Milieux continusDans ce cours, les outils qui permettent de décrire les matériaux non pas au niveau atomique mais au niveau d'un continuum sont présentés. Les tenseurs des contraintes et des déformations, les lois de conservation (masse, énergie, quantité de mouvement), l ...
MATH-323: Topology III - HomologyHomology is one of the most important tools to study topological spaces and it plays an important role in many fields of mathematics. The aim of this course is to introduce this notion, understand its properties and learn how to compute it. There will be m ...
MATH-667: Quivers and quantum algebrasWe will survey state of the art research on quantum algebras that arise from quivers. Our guiding examples will be quantum loop groups associated to symmetric Cartan matrices, but we will also seek to understand the general theory, where many open results ...
PHYS-101(de): Physique générale : mécanique (allemand)Die Studenten erwerben die Grundkenntnisse zum Verständnis von physikalischen Phänomenen der Mechanik. Sie entwickeln die Fähigkeit, die Auswirkungen dieser Phänomene mit den entsprechenden theoretischen Werkzeugen quantitativ zu bestimmen. ...
PHYS-101(h): General physics : mechanics (SV I)Le but du cours de physique générale est de donner à l'étudiant les notions de base nécessaires à la compréhension des phénomènes physiques. L'objectif est atteint lorsque l'étudiant est capable de prévoir quantitativement les conséquences de ces phénomène ...
MATH-687: Algebraic models for homotopy typesln this course we will develop algebraic and coalgebraic models for homotopy types.
Among other things we will learn about Quillen's and Sullivan's model of rationâl homotopy types and about Mandell's theorem in p-adic homotopy theory. ...
MATH-494: Topics in arithmetic geometryP-adic numbers are a number theoretic analogue of the real numbers, which interpolate between arithmetics, analysis and geometry. In this course we study their basic properties and give various applications, notably we will prove rationality of the Weil Ze ...
MATH-479: Linear algebraic groupsThe aim of the course is to give an introduction to linear algebraic groups and to give an insight into a beautiful subject that combines algebraic geometry with group theory. ...
AR-301(o): Studio BA5 (elii)Fiction is one of the laboratories that architecture uses for its tests. This should not come as a surprise, since architecture has always been a "science of fiction". The studio holds by elii [architecture office] will work in Madrid on housing, domestici ...
