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Manifolds

Ciprian Manolescu

Date Icon Week 3, Tuesday 12 May TT 2015
Time Icon 8:15pm

Manifolds (spaces that look locally like \(\mathbb{R}^n\)) are the basic objects of study in topology. In this talk I will describe what is known about their classification. I will mention the different versions of the Poincare conjecture, and also strange phenomena that appear in high dimensions: exotic smooth structures on the same manifold, and manifolds that cannot be triangulated.