Trading linearity for ellipticity - a novel approach to global Lorentzian geometry

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Title (deu)

Trading linearity for ellipticity - a novel approach to global Lorentzian geometry

Speaker / Lecturer

Nicola Gigli

SISSA, Trieste

Description (deu)

The concepts of Sobolev functions, elliptic operators and Banach spaces are central in modern geometric analysis. In the setting of Lorentzian geometry, however, unless one restricts the attention to Cauchy hypersurfaces these do not have a clear analogue, due to the signature of the metric tensor. Aim of the talk is to discuss some recent observations in this direction centered around the fact that for p<1 the p-D’Alambertian is elliptic on the space of time functions. The talk is mostly based on joint project with Beran, Braun, Calisti, McCann, Ohanyan, Rott, Saemann.

Keywords (deu)

Synthetic Curvature BoundsNon-Smooth SpacesBeyond Finite Dimension

Subject (eng)

ÖFOS 2012 -- 101 -- Mathematics

Type (eng)

lecture

Language

English [eng]

Persistent identifier

https://phaidra.univie.ac.at/o:2068066

Funder

Date created