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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)
Language
[eng]
Persistent identifier
https://phaidra.univie.ac.at/o:2068066
Date created
2024-05-21
Place of creation (eng)
ESI
Duration
44 minutes 50 seconds
Content
Details
Object type
Video
Format
video/mp4
Created
27.05.2024 12:41:52
Metadata