Milnor's construction of exotic 7-spheres

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• Ismael Sierra, University of Cambridge
• Friday 27 January 2023, 16:00-17:00
• MR13.

If you have a question about this talk, please contact Macarena Arenas.

An exotic n-sphere is a smooth manifold which is homeomorphic but not diffeomorphic to S^n. In this talk I will explain the first construction of such Manifolds due to Milnor in 1956. To do so, I will introduce the notion of cobordism and Pontryagin classes, and state some important results in topology such as the Hirzebruch signature theorem. Finally, if time permits I will say what is known about exotic spheres in other dimensions.

This talk is part of the Junior Geometry Seminar series.

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