KEK Theory workshop 2020

Symmetry protected topological phases and generalized (co)homology theory

15 Dec 2020, 10:50

1h 30m

Online (Zoom)

Invited talks

Speaker

Prof. Ken Shiozaki (YITP)

Description

It is discussed that the symmetry protected topological phase (SPT phase) is well described by generalized cohomology theory. Identifying the classification of SPT phases on a real-space manifold $X$ as a homology group on $X$ offers a unified understanding of SPT phenomena through the axioms and general properties of the generalized (co)homology. In this talk, I will give a brief review of how the mathematical structure of generalized (co)homology theory can help us to consider SPT phases and quantum anomalies.

Presentation materials

Ken_Shiozaki_KEK-TH2020.pdf