Lectures and speakers

The arrival day of the school is the 21st and the departure day is the 27th. 

The lectures will  start on the morning of the 22nd and end in the late afternoon of the 26th.

Since the discovery of the quantum Hall effect in 1980 and the subsequent realization that electronic bands can have topologically non-trivial properties, the field of topological phases of matter has been thriving. In this course, the concept of topological insulators will be introduced as well as experimental realizations of these phases. In particular, we will cover topics ranging from topological band theory and the integer and fractional quantum Hall effect to Chern insulators and their connection to Weyl semimetals. We will encounter concepts such as the bulk-boundary correspondence, topological invariants, topological boundary states, and the tenfold way. Realizations of these phases both in solid-state materials as well as artificial platforms will be reviewed. If time permits, we will also briefly discuss topology in the context of non-Hermitian systems, which opens up a whole new avenue of fascinating phenomena to explore.

Generalised and non-invertible symmetries, Ho Tat Lam

This course will provide an introduction to generalized global symmetry, with a specific emphasis on non-invertible symmetry. Non-invertible symmetries are symmetries characterized by the absence of inverse operations. Despite this distinction, many properties associated with ordinary symmetries remain applicable to non-invertible symmetries. These non-invertible symmetries lead to conservation laws, selection rules and constraints on renormalization group flow. Throughout the course, we will explore generalized symmetries through a diverse range of examples.