12:30 pm MCP - 3rd Floor Atrium
Covariant formulation of hydrodynamics.
We reformulate the equations of Lichnerowicz and Carter describing ideal relativistic fluid as intersection problem in the auxiliary infinite dimensional phase space associated with spacetime, making contact with the Poisson sigma model. Kontsevich used the latter to solve another problem originally posed by Lichnerowicz: deformation quantization of Poisson manifolds.
We reformulate the equations of Lichnerowicz and Carter describing ideal relativistic fluid as intersection problem in the auxiliary infinite dimensional phase space associated with spacetime, making contact with the Poisson sigma model. Kontsevich used the latter to solve another problem originally posed by Lichnerowicz: deformation quantization of Poisson manifolds.
Our approach separates the smooth structure of spacetime from its metric structure and the chemical composition of the fluid, similar to the way conformal blocks in two dimensional conformal field theory separate left- and right-moving degrees of freedom. Joint work with P.Wiegmann.
Event Type
Feb
24