Published on *Max Planck Institute for Mathematics* (https://www.mpim-bonn.mpg.de)

Posted in

- Talk [1]

Speaker:

Luuk Stehouwer
Affiliation:

MPIM
Date:

Tue, 2019-11-26 14:00 - 15:00 Topological K-theory provides a great tool to study topological phases in systems of free fermions. We start by reviewing an argument by Freed & Moore on the appearance of the K-theory of tori in the context of quantum mechanics. After the mathematical essence has been extracted, the focus will be on computational methods using the Atiyah-Hirzebruch spectral sequences. We will focus on the example of a 2-dimensional system with a rotational symmetry of order two.

**Links:**

[1] https://www.mpim-bonn.mpg.de/taxonomy/term/39

[2] https://www.mpim-bonn.mpg.de/node/3444

[3] https://www.mpim-bonn.mpg.de/node/5312