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SUMMARY:Angela Pasquale (Lorraine)
DTSTART:20211028T190000Z
DTEND:20211028T200000Z
DTSTAMP:20260423T004732Z
UID:HASS21/6
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HASS21/6/">R
 esonances of the Laplacian on Riemannian symmetric spaces of the noncompac
 t type of rank 2</a>\nby Angela Pasquale (Lorraine) as part of Harmonic An
 alysis and Symmetric Spaces 2021\n\n\nAbstract\nLet $X=G/K$ be a Riemannia
 n symmetric space of non-compact type and let $\\Delta$ be the positive La
 placian of $X$\, with spectrum $\\sigma(\\Delta)$. Then the resolvent $R(z
 )=(\\Delta-z)^{-1}$ is a holomorphic function on $\\mathbb{C}\\setminus \\
 sigma(\\Delta)$ with values in the space of bounded linear operators on $L
 ^2(X)$. If $R$ admits a meromorphic continuation across $\\sigma(\\Delta)$
 \, then the poles of the meromorphically extended resolvent are called the
  resonances of $\\Delta$. At present\, there are no general results on the
  existence and the nature of resonances on a general $X=G/K$. In this talk
 \, we will mostly focus on the case of rank two.\n\nThis is part of a join
 t project with J. Hilgert (Paderborn University) and T. Przebinda (Univers
 ity of Oklahoma).\n
LOCATION:https://researchseminars.org/talk/HASS21/6/
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