### 1. Qualitative and descriptive

Elastic objects, models and physical examples.
Coupling to substrates: quenched disorder, models, examples,
universality classes. What do we learn from experiments
(superconductors, magnetic domains, wetting, etc) ? Physics of
pinning: Larkin model, with and without replica, stability; beyond
Larkin (Flory); depinning transition (phenomenology); glassy
dynamics and creep motion; driven dynamics: Edwards Wilkinson and Kardar Parisi Zhang
equations.

### 2. Toy models, particle in a random energy landscape

Random energy landscapes and decaying Burgers turbulence.
Sinai model, real
space Renormalization Group (RG) of Brownian Landscape, shocks and droplets, zero
temperature fixed point, thermally activated motion.
Log-correlated landscapes, freezing transitions, Coulomb gas and
directed polymer on Cayley tree: statics and dynamics.
Toy models for depinning, avalanches and creep.

### 3. Manifolds

What is needed in field theory, RG and exact RG: a short review.

Static Functional RG: perturbation theory, dimensional reduction,
definition of renormalized disorder, effective action, one loop Functional RG
at zero temperature, applications.

Dynamic Functional RG:
diagrammatics and connection to statics, differences with statics, two
loop (sketch), depinning transition, moving states.

Shocks and avalanches.
Including temperature: Cardy Ostlund model, marginal glass, back to
Coulomb gas, mesoscopic fluctuations, thermal boundary layer:
droplets and creep. Large N: Gaussian Variational Method, Replica Symmetry
Breaking and mean-field
connection to Functional RG. Exotic disorders: correlated disorder, pinning of
quantum systems. Opening on other problems: random fields, gauge
glasses, RFIM, reaction diffusion.