Lectures by Marios Petropoulos: “Continuous media on Newton-Cartan spacetimes”

On Friday 24 May, Marios Petropoulos (École polytechnique) will give two lectures on “Continuous media on Newton-Cartan spacetimes”.

The lectures will take place at:

– the Mirzakhani room from 11h to 12h;

– the Penrose room in building B4 from 14h30 to 15h30.

The content and plan of these lectures is as follows:

1) Reminder of basics on “continuous media equations”.

2) Following the paradigm of infinite-c limit, description of Newton-Cartan spacetimes with emphasis on the action of Galilean boosts on the tangent and cotangent spaces.

3) Description of the connections with torsion in the case of strong Newton-Cartan structures with emphasis on the split-time-and-space paradigm.

4) Galilean hydrodynamics as the limit of Lorentzian fluid equations, contact with the connection previously introduced.

5) Equations from variational principle, back to the Galilean boosts, back to a generalized connection with further degrees of freedom.