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UID:20250713T145910EDT-7171tUfSxG@132.216.98.100
DTSTAMP:20250713T185910Z
DESCRIPTION:Title: Scattering theory for differential forms and its relatio
 n to cohomology\n	Abstract: I will consider spectral theory of the Laplace 
 operator on a manifold that is Euclidean outside a compact set. An example
  of such a setting is obstacle scattering where several compact pieces are
  removed from $R^d$. The spectrum of the operator on functions is absolute
 ly continuous. In the case of general $p$-forms eigenvalues at zero may ex
 ist\, the eigenspace consisting of L^2-harmonic forms. The dimension of th
 is space is computable by cohomological methods. I will present some new r
 esults concerning the detailed expansions of generalised eigenfunctions\, 
 the scattering matrix\, and the resolvent near zero. These expansions cont
 ain the L^2-harmonic forms so there is no clear separation between the con
 tinuous and the discrete spectrum. This can be used to obtain more detaile
 d information about the L^2-cohomology as well as the spectrum. If I have 
 time I will explain an application of this to physics. (joint work with Al
 den Waters)\n\n\n	For zoom meeting information please contact dmitry.jakobs
 on [at] mcgill.ca\n
DTSTART:20200619T160000Z
DTEND:20200619T170000Z
SUMMARY:Alexander Strohmaier (Leeds)
URL:/mathstat/channels/event/alexander-strohmaier-leed
 s-322828
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