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SUMMARY:An elliptic perspective on the d'Alembert operator from general re
 lativity (Geometry Seminar)
DTSTART:20241002T111500
DTEND:20241002T121500
DTSTAMP:20260406T121011Z
UID:c1231f5d98ef637eb7fe3d36a9a8a60ff7c0cb0ff618ce10226c58ea
CATEGORIES:Conferences - Seminars
DESCRIPTION:Mathias Braun (EPFL)\nWe present a distributional notion of d'
 Alembertian of Lorentz distance functions in spacetimes which may be smoot
 h or nonsmooth. We derive comparison estimates and precise representation 
 formulas. This expands on a recent elliptic interpretation of this operato
 r (e.g. enabling us to give a simplified proof of the classical Lorentzian
  splitting theorem)\; even in the Lorentzian case\, our results seem to pi
 oneer its interpretation across the timelike cut locus. Two central ingred
 ients our work unifies are the localization paradigm of Cavalletti-Mondino
  and our recent Lorentzian Sobolev calculus. Partly in collaboration with 
 Robert McCann (University of Toronto)\, Nicola Gigli\, Felix Rott (SISSA T
 rieste)\, Clemens Sämann (University of Oxford)\, Argam Ohanyan\, Tobias 
 Beran\, Matteo Calisti (University of Vienna).
LOCATION:CH B3 31 https://plan.epfl.ch/?room==CH%20B3%2031
STATUS:CONFIRMED
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