Boundary calculus in conformal geometry. Lecture 1

Rod Gover (U of Auckland)

Sep 13. 2021, 09:30 — 10:30

We begine with a discussion of the key problems, viz. the construction of natural
invariants and invariant operators for conformally embedded
hypersurfaces. These have applications in Scattering, String theory
(especially surrounding the AdS/CFT programme, PDE boundary problems,
and representation theory.

Then we discuss: Tractor calculus. Hypersurface tractor
theory.  The proliferation of conformally invariant boundary
operators, and connectionsof these to $Q$ and $T$ curvatures.

Further Information
ESI Boltzmann Lecture Hall
Associated Event:
Geometry for Higher Spin Gravity: Conformal Structures, PDEs, and Q-manifolds (Thematic Programme)
Xavier Bekaert (U Tours)
Andreas Cap (U of Vienna)
Stefan Fredenhagen (U of Vienna)
Maxim Grigoriev (Lebedev Inst. & Lomonosov Moscow SU)
Alexei Kotov (U Hradec Králové)