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The Soul Theorem: A Compact Proof

Speaker: Mathieu Wydra Location: Math 505 Abstract: In this talk we will be looking at the Soul Theorem of Cheeger and Gromoll with which we can largely reduce the study of certain Riemannian manifolds to a compact submanifold. We will introduce the widely used concept of the geodesic, or shortest curve between two points on a surface, and use this to prove the related Soul conjecture in a remarkably concise proof. Knowledge of Differential or Riemannian geometry would be helpful, but not necessary as it will be mostly self-contained. -------------------- Website: https://ucl-ug-col.github.io/ Facebook Page:   / uclmaths   Instagram: @ucl.umc Email: [email protected]