Coursebooks 2018-2019

PDF

Topics in Mathematical Physics

MATH-669

Lecturer(s) :

Hongler Clément

Language:

English

Frequency

Only this year

Remarque

Next time: Fall 2018

Summary

Scheme: an intro, a key theorem, and key ideas of the proofs. Topics include: Dimers and Limit shapes, Ising model and Fermions, Conformal Field Theory and Moonshine, KdV and Inverse Scattering, Quantum Information and Measurement, Complex Dynamics and Julia Sets, Spin Glasses and Neural Nets.

Content

Scheme: an intro, a key theorem, and key ideas of the proofs. Topics include: Dimers and Limit shapes, Ising model and Fermions, Conformal Field Theory and Moonshine, KdV and Inverse Scattering, Quantum Information and Measurement, Complex Dynamics and Julia Sets, Spin Glasses and Neural Nets.

The idea is to spend two weeks (4h) on each topic.

Depending on the audience's tastes, other possible topics include: Quantum Computation and Breaking Cryptography, Renormalization Group and Ricci Flow, Gibbs Measures and Phase Transitions, Spin Chains and Anyons, Density Functional Theory and Pseudopotentials, Kinetic Gas Theory and H-Theorem

Lectures on Dimers (Kenyon), Planar Ising Model at Criticality: State of the Art and Perspectives (Chelkak), Conformal Field Theory (Di Francesco, Mathieu, Sénéchal), Statistical Field Theory (Mussardo), Solitons: an Introduction (Drazin, Johnson) Integrable Systems (Hitchin, Segal, Ward), Decoherence (Schlosshauer), Quantum Information Since Democritus (Aaronson), Dynamics in One Complex Variable: Introductory Lectures (Milnor), Complex Dynamics (Carleson, Gamelin) Information, Physics and Computation (Mézard, Montanari)

In the programs

Reference week

 
      Lecture
      Exercise, TP
      Project, other

legend

  • Autumn semester
  • Winter sessions
  • Spring semester
  • Summer sessions
  • Lecture in French
  • Lecture in English
  • Lecture in German