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CATEGORIES:Cambridge Analysts' Knowledge Exchange
SUMMARY:Microlocal analysis &\; inverse problems - Jan
Bohr (University of Cambridge)
DTSTART;TZID=Europe/London:20200612T120000
DTEND;TZID=Europe/London:20200612T130000
UID:TALK142336AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/142336
DESCRIPTION:After whetting the appetite for some neat geometri
c inverse problems\, the talk is meant to give a g
entle introduction to some bits of microlocal anal
ysis that have been introduced in the inverse prob
lems community by Uhlmann and Vasy in 2012 [1]. Si
nce then they have become a key tool in the treatm
ent of local tomography problems\, most notably re
solving the boundary rigidity conjecture for a lar
ge class of manifolds [2]. We will confine ourselv
es to one of the simplest problems (determining a
function in the Euclidean unit-ball from its line
integrals) and explain how so called scattering ps
eudodifferential operators can be used to prove in
jectivity results.\n\n[1] Uhlmann\, Vasy: The inve
rse problem for the local geodesic ray transform.
Invent. Math. 205 (2016)\n\n[2] Uhlmann\, Vasy\, S
tefanov: Local and global boundary rigidity and th
e geodesic X-ray transform in the normal gauge. ar
Xiv.1702.03638
LOCATION:Online (Ask for the link to rav25@cam.ac.uk).
CONTACT:Renato Velozo
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