Course

Quantum geometric tensor, quantum phase transitions as "dramatic changes".

Statistical distance between quantum states, Fubini-Study metric on the Hilbert space.

Euclidean Trick, Variational Principles: Einstein-Hilbert Action.

Yukawa interactions, CKM matrix, Fermi theory.

Duality in the quantum Ising model, Jordan-Wigner transformation.

Penrose diagrams, Kerr metric: Geodesics in Equatorial Plane, ISCO.

Standard Model Lagrangian, Fermion kinetic terms, Charged and neutral current interactions.

Long-ranged order, quantum phases at zero temperature, quantum phases of the quantum Ising model.

Applying Cartan: Spherically Symmetric Spacetimes -- Schwarzschild, Relativistic Stars.

Fermion masses, the Higgs mechanism in non-abelian gauge theory.