Course

Black holes, horizons, and causal structure

Yukawa interactions, CKM matrix

Geometry of conformal transformation or the conformal group.

Spherically symmetric spacetimes, Schwarzschild-(A)dS black holes

Non-abelian Higgs model, Standard Model Higgs sector

Cartan's formalism: connection & curvature

Abelian Higgs model

Why CFTs are important.

Lie derivative and symmetries, Killing vectors, ON basis

Spontaneously broken global symmetries

Review of differential geometry: manifolds, tensors, differential forms

Particle content of the Standard Model, Renormalizability of massive gauge theories