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Explore a lecture on the geometric reformulation of relativistic hydrodynamics through the lens of intersection theory problems in mathematical physics. Delve into how partial differential equations can be reinterpreted using intersections of Lagrangian submanifolds within infinite-dimensional symplectic manifolds of paths. Learn about the Lichnerowicz and Carter formulation of relativistic hydrodynamics and its representation using coisotropic and Lagrangian branes, presented through collaborative research with Pavel Wiegmann.
Syllabus
Nikita Nekrasov, SCGP: Geometry of relativistic hydrodynamics
Taught by
IMSA