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.
