Mathematical Colloquium
We cordially invite for a colloquium talk on Thursday, 16 December 2021, at 4:30pm by
Ulrich Bauer (TUM)
in lecture hall A027 entitled
Persistent homology: theory, computation, and applications
Abstract: In this talk, I will survey some recent results on theoretical and computational aspects of applied topology. I will illustrate various aspects of persistent homology: its structure, which serves as a topological descriptor, its stability with respect to perturbations of the data, its computation on a large scale, and connections to Morse theory. These aspects will be motivated and illustrated by concrete examples and applications, such as* reconstruction of a shape and its homology from a point cloud,
* faithful simplification of contours of a real-valued function,
* the existence of unstable minimal surfaces, and
* the identification of recurrent mutations in the evolution of COVID-19.
This is a hybrid talk, live in lecture hall A027 and synchronous broadcast via the following zoom-link:
https://lmu-munich.zoom.us/j/99946902916?pwd=UWM5SGtIL091NmdjU3BHVVpOU0lEdz09
Meeting ID: 999 4690 2916, Passcode: 695211