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GPF2025 TopArtGravity lectures on topological quantum matter

TopArtGravity lectures on topological quantum matter

21-29 October 2025, Belgrade, Serbia

Group for Gravitation, Particles and Fields            Faculty of Physics Belgrade            Institute of Physics Belgrade            Science Fund of the Republic of Serbia            Diaspora program logo            TopArtGravity project logo           

Programme

Lectures will be held from Tuesday to Thursday, 21-23. October 2025, at the Faculty of Physics, Studentski Trg 12, Belgrade, lecture hall 665 (third floor), and on Friday 24. October 2025, at the Institute of Physics, Pregrevica 118, Belgrade, lecture hall 360 (second floor).

The PDF version of the announcement is available here.

Tuesday, 21. October 2025 --- Faculty of Physics
14:00 -- 15:30
Speaker: Vladimir Juričić
Universidad Técnica Federico Santa María,
Valparaíso, Chile



Title: Foundations: Berry phase and Chern number
Topics:
- Bloch bands and Bloch bundle
- Berry connection, curvature, and Zak phase
- Chern number/TKNN invariant, Hall conductivity
- Bulk–boundary correspondence
- Minimal models: Su-Schrieffer-Heeger, Bernevig-Hughes-Zhang, Haldane
Wednesday, 22. October 2025 --- Faculty of Physics
11:00 -- 12:30
Speaker: Vladimir Juričić
Universidad Técnica Federico Santa María,
Valparaíso, Chile



Title: Time-reversal topological insulators and superconductors, tenfold way
Topics:
- Altland–Zirnbauer symmetry classes (TRS, PHS, chiral)
- Fu–Kane parity criterion and Pfaffian formulation
- 3D topological insulators, 3D TI surface Dirac cone
- Kitaev chain and Majorana bound state
Thursday, 23. October 2025 --- Faculty of Physics
11:00 -- 12:30
Speaker: Vladimir Juričić
Universidad Técnica Federico Santa María,
Valparaíso, Chile



Title: Crystalline topology and higher-order phases
Topics:
- Symmetry indicators and topological quantum chemistry
- Wannier obstruction and symmetry-protected topology
- Mirror/rotation/inversion invariants
- Higher-order TIs: hinge/corner states, fragile topology
Friday, 24. October 2025 --- Institute of Physics
11:00 -- 12:30
Speaker: Vladimir Juričić
Universidad Técnica Federico Santa María,
Valparaíso, Chile



Title: Non-Hermitian topology: NH Dirac fermions, interactions, and flat bands
Topics:
- Biorthogonal formalism, NH Bloch bands
- NH Dirac fermions
- Interaction effects
- Exceptional flat bands
Wednesday, 29. October 2025 --- Faculty of Physics
11:00 -- 12:30
Speaker: Vladimir Juričić
Universidad Técnica Federico Santa María,
Valparaíso, Chile



Title: Quantum geometry and responses
Topics:
- Quantum geometric tensor: Berry curvature + Fubini–Study metric
- Modern theory of polarization and orbital magnetization
- Anomalous Hall effect. Berry-curvature dipole and nonlinear Hall conductivity
- Superfluid weight and geometric contributions
- Flat/near-flat Chern bands; moiré miniband geometry (overview)


Last update: Friday 17. October 2025, 01:48:12.