Speaker
Description
Topological ideas have come to the forefront of condensed matter physics
in recent decades, since the discovery and subsequent explanation of the
integer quantum Hall effect. Today, these ideas are showing up in various
subfields, and play important roles in guiding future theoretical
and experimental research.
A more recent direction in this field is to couple topological ideas
with geometrical ideas, where the geometry of quantum states
(distance in Hilbert space) is constrained by the underlying
topological structure.
This talk aims at giving an introduction to both topological
and geometrical ideas in free-fermion condensed matter systems,
and subsequently show the interplay of geometry and topology,
and how it can lead to new and interesting physical responses
in real materials.
