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UID:20251218T164733EST-27652UOkCh@132.216.98.100
DTSTAMP:20251218T214733Z
DESCRIPTION:Title: Fredholm Theory of Non-Elliptic Operators with Trapping.
 \n\n\n	Abstract: In this talk\, we will discuss how one shows that a non-el
 liptic differential operator P is Fredholm on appropriate function spaces.
  Contrary to the elliptic setting\, the Fredholmness of such operators dep
 ends on the global properties of the associated classical flow. In the non
 -trapping case\, which roughly corresponds to when the flow has global hyp
 erbolic attractors/repellors with specific properties\, the Fredholm theor
 y was obtained on variants of Sobolev spaces. When trapping is present\, m
 eaning that some integral curves do not reach these attractors/repellors\,
  P is no longer Fredholm on these function spaces. If the trapping is norm
 ally hyperbolic\, we will describe a well behaved Fredholm theory\, albeit
  on spaces of distributions with weaker regularity at the unstable manifol
 d of the trapped set. Finally\, applications will be given to inverting wa
 ve operators on spacetimes. \n
DTSTART:20260108T193000Z
DTEND:20260108T203000Z
LOCATION:Room 1234\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue
  Sherbrooke Ouest
SUMMARY:Selim Amar (Stanford University) 
URL:/science/channels/event/selim-amar-stanford-univer
 sity-369907
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