We propose an introduction to homotopy theory for topological spaces. We define higher homotopy groups and relate them to homology groups. We introduce (co)fibration sequences, loop spaces, and suspensions. We study long exact sequences. We construct Eilen ...
Linear and nonlinear dynamical systems are found in all fields of science and engineering. After a short review of linear system theory, the class will explain and develop the main tools for the qualitative analysis of nonlinear systems, both in discrete-t ...
This course will provide an introduction to model category theory, which is an abstract framework for generalizing homotopy theory beyond topological spaces and continuous maps. We will study numerous examples of model categories and their applications in ...
A quoi peut servir un.e architecte ?
Nous réfléchirons ensemble à cette question à travers un projet de réinvention et réhabilitation de l'Institut Thérapeutique Educatif et Pédagogique (ITEP) les Évents, qui accueille des jeunes atteints de troubles psych ...
P-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 ...
Understanding of the principles and applications of functional programming, the fundamental models of program
execution, application of fundamental methods of program composition, meta-programming through the construction of
interpreters and advanced progr ...
The main objective is to make the students understand the importance of the spatial issues in environmental sciences and engineering, for example for mapping and interpolation. Presentation of different concepts and techniques devoted to spatial data. ...