**UM Math Graduate Students Seminar**

Christopher Smith

*University of Miami*

**will present**

**Exotic 7-spheres**

Friday, April 13, 2012, 4:00pm

Ungar Building Room 402

**Abstract:**In this talk I will explain the notion of exotic manifolds, and give an example of an exotic 7-dimensional sphere, using fiber bundles, morse theory and the hürzebruch signature theorem to show it is homeomorphic but not diffeomorphic to the standard 7-dimensional sphere.

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