Abertas inscrições para curso de Topologia Computacional

Fonte INPE 09/03/2013 às 20h
 

 

De 13 a 21 de março, o curso Fundamental Concepts of Theoretical and Applied Topology será ministrado pela professora Esther Maria Marin, do Departamento de Matemática da Universidade de Guadalajara, México. As aulas serão na Sala A da Rotunda, no Instituto Nacional de Pesquisas Espaciais (INPE), em São José dos Campos (SP).

Serão aceitos 30 participantes e os interessados devem enviar email para reinaldo@lac.inpe.br, solicitando inscrição.

Promovido pelo Grupo de Cosmologia Computacional do Laboratório Associado de Computação e Matemática Aplicada (LAC) e pelo Programa de Pós-graduação em Computação Aplicada (CAP) do INPE, o curso será proferido em inglês, embora perguntas possam ser também formuladas em espanhol.

Programação

Aula 1 - 13/3 (quarta-feira) 15h30-17h00 - Basic Concepts of Topology
Aula 2 - 14/3 (quinta-feira) 16h00-17h30 - Topological Algebra
Aula 3 - 15/3 (sexta-feira) 14h30-16h00 - Cobordism and Applications 1
Aula 4 - 20/3 (quarta-feira) 15h30-17h00 - Fibered Homology
Aula 5 - 21/3 (quinta-feira) 15h30-17h00 - Applications 2

Abstract

Topology is in mathematics the generalization of the concepts. We can study the properties of a geometric object that remains unchanged by deformations such as bending, stretching, or squeezing but not breaking. That’s why we can find in other courses like Functional Analysis, Real Analysis, even in Calculus; definitions that seems the same. It’s true that we can define de same object in different ways, but each of one definition have a certain point of view. One example is homeomorphisms -- functions that can be used to demonstrate that two spaces are "the same". This is important because we can “work” in different spaces but finally we obtain a solution with characteristics that we want. Topology has beautiful ideas, a nice way to view/define continuity, nearness and other concepts. The study of manifolds and knots is very important to physics. In the introduction of this short course we adopt, the naive point of view regarding set theory. We are not pretending to do a complete analysis of such subject. Logicians have analyzed set theory in great detail. However, we need to provide a foundation strong enough for future studies in advanced topology considering computational topology as well as its applications in cosmology.

INPE
Fonte INPE 09/03/2013 ás 20h

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Abertas inscrições para curso de Topologia Computacional