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SUMMARY:Jérémy Mougel (Göttingen)
DTSTART:20210204T131500Z
DTEND:20210204T141500Z
DTSTAMP:20260423T021325Z
UID:olana/10
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/olana/10/">A
  regularity result for the bound states of N-body Schrödinger operators: 
 Blow-ups and Lie manifolds</a>\nby Jérémy Mougel (Göttingen) as part of
  Oldenburg analysis seminar\n\n\nAbstract\nI will present a result on the 
 regularity of the eigenfunctions of the usual $N$-body Hamiltonian. \nThe 
 proof is in two steps: Firstly\, we built a compactification of $R^{3N}$ t
 hat is compatible with the analytic properties of the $N$-body Hamiltonian
 . To build this space\, we \nblow-up $R^{3N}$ by the spheres at infinity o
 f the collision planes (at this level\, the resulting space is the Georges
 cu-Vasy compactification) then we blow-up again by the collision planes.\n
 Secondly\, we meticulously study how the Lie manifold structure of $R^{3N}
 $ and the associated data\n(metric\, Sobolev spaces\, differential operato
 rs) change with each blow-up. This is a joint work\nwith B. Ammann and V. 
 Nistor.\n
LOCATION:https://researchseminars.org/talk/olana/10/
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