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# Manifolds

## Ciprian Manolescu

Week 3, Tuesday 12 May TT 2015
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.