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SUMMARY:Vector-valued oscillatory integrals and $(\\rho\,\\delta)$-type ps
 eudodifferential calculus [Oberseminar Global Analysis and Operator Algebr
 as]
DTSTART:20251104T131500Z
DTEND:20251104T144500Z
DTSTAMP:20260314T231000Z
UID:indico-event-826@math-events.uni-bonn.de
DESCRIPTION:Speakers: Gihyun Lee (University of Potsdam)\n\nI shall report
  on ongoing joint work with Vishvesh Kumar (Ghent\nUniversity\, Belgium)\,
  in which we construct a general pseudodifferential calculus of\ntype $(\\
 rho\,\\delta)$ associated with symbols taking values in a locally convex\n
 space. Our framework covers the classical Kohn-Nirenberg and Weyl calculi\
 , while our\nmain motivation is to generalize Connes’ pseudodifferential
  calculus on\nnoncommutative tori to the general $(\\rho\,\\delta)$-type. 
 I will introduce the\nvector-valued oscillatory integral underlying our co
 nstruction and discuss the\ntechnical difficulties that do not appear in t
 he scalar- or Banach space-valued\n$(\\rho\,\\delta)$-type calculi in the 
 literature. If time permits\, the\n$L^p$-boundedness of pseudodifferential
  operators on noncommutative tori will also\nbe presented.\n\nhttps://math
 -events.uni-bonn.de/event/826/
LOCATION:Endenicher Allee 60/1-008 (Mathezentrum)
URL:https://math-events.uni-bonn.de/event/826/
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