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SUMMARY:Rigidity in the Lorentzian Calderón problem [Oberseminar Analysis
 ]
DTSTART:20250217T011500Z
DTEND:20250217T030000Z
DTSTAMP:20260416T075900Z
UID:indico-event-183@math-events.uni-bonn.de
CONTACT:kappes@iam.uni-bonn.de
DESCRIPTION:Speakers: Mikko Salo (University of Jyväskylä)\n\nThe invers
 e problem of Calderón\, in its geometric formulation\, asks if a Riemanni
 an metric in a domain is determined up to isometry by boundary measurement
 s of harmonic functions. Physically this corresponds to determining a matr
 ix electrical conductivity function from voltage and current measurements 
 on the boundary. This problem is open in general.\nIn this talk we will di
 scuss the hyperbolic analogue of the Calderón problem for the (Lorentzian
 ) wave equation. We will show a rigidity result stating that any globally 
 hyperbolic Lorentzian metric can be distinguished from the Minkowski metri
 c. The result is valid for formally determined data and the method is base
 d on distorted plane waves and geometric\, topological and unique continua
 tion arguments. This is joint work with L. Oksanen (Helsinki) and Rakesh (
 Delaware).\n\nhttps://math-events.uni-bonn.de/event/183/
LOCATION:Endenicher Allee 60/1-016 - Lipschitzsaal (Mathezentrum)
URL:https://math-events.uni-bonn.de/event/183/
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