Seminário de Álgebra  RSS

15/11/2012, 15:30 — 16:30 — Sala P3.10, Pavilhão de Matemática
, University of Western Ontario

Doing differential geometry on the irrational torus, a rush introduction to diffeology.

The quotient group of the 2 -torus modulo a line of an irrational slope is an interesting geometric object. However, as a quotient topological space it is indiscrete. In noncommutative geometry, the study of this geometric object (called the irrational torus) is based on the study of a C *-algebra related to it. In this talk, we will introduce a geometric way (called diffeology) to study the irrational torus. If time permits, I will talk about the usual geometric information of the irrational torus from the diffeological point of view: the tangent bundle, de Rham cohomology, smooth homotopy groups, etc.

Organizador actual: Gustavo Granja

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