An actual real-life application of geodesic equations on Lie groups: proteins

Abstract: What is in the intersection of optimization, geometric mechanics and protein imaging? The contents of this talk! I have studied how to solve the problem of reconstructing protein conformations from very noisy electron microscopy images, using techniques from geometric shape matching. By deforming an initial template using the action of a suitable Lie group in an optimal way, we can reconstruct the indirectly observed target conformation of the protein. In this talk, I hope to introduce you to the beautiful concept of shape matching in a way that is FUN (Friendly Understanding for Novices). References will be provided for those looking to learn more.

Mathematics

Audience: general audience

Gothenburg PhD seminar

Series comments: Rooms and times may vary, please check the latest update. In-person only.