15/11/2012, 15:30 — 16:30 — Room P3.10, Mathematics Building Enxin Wu, University of Western Ontario
Doing differential geometry on the irrational torus, a rush
introduction to diffeology.
The quotient group of the -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 -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.
