seminar

[Ludwik Dabrowski]

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MATHEMATICAL PHYSICS SECTOR SEMINARS
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Christian Bär

(Potsdam)


CONFORMAL STRUCTURES IN NONCOMMUTATIVE GEOMETRY



Abstract:
It is well known that a compact Riemannian spin manifold (M,g)
can be reconstructed from its canonical spectral triple
(C^\infty(M),L^2(SM),D), where SM denotes the spinor bundle
and D the Dirac operator.
We show that the Riemannian metric g can be reconstructed
up to conformal equivalence from (C^\infty(M),L^2(SM),sign(D)).
This clarifies and proves an old folk-wisdom in non-commutative
geometry.



Wed. 9 Dec. 2009, 16:00
Room C, SISSA Main Building