Morse-Theoretic Aspects of the Willmore Energy

Morse-Theoretic Aspects of the Willmore Energy - Alexis Michelat

Alexis Michelat
ETH Zurich
November 13, 2018
We will present the project of using the Willmore elastic energy as a quasi-Morse function to explore
the topology of immersions of the 2-sphere into Euclidean spaces and explain how this relates to the
classical theory of complete minimal surfaces with finite total curvature.

This is partially a joint work in collaboration with Tristan Rivière.