• Topology in gapless systems

  • Introduction to Topology in gapless systems
  • Topological invariants of Fermi surfaces
  • Graphene and protected Dirac cones
  • d-wave superconductors and edge states
  • Weyl points

• Topological mechanics

  • Introduction to Topological mechanics
  • Kink and anti-kink
  • Non-linear dynamics
  • Zero modes and states of self-stress
  • Topological band theory
  • Dislocations and topological zero modes
  • States of self-stress and selective buckling
  • Conclusions: Topological mechanics