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DTSTART:20260308T070000
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DTSTART:20251102T060000
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DTSTART;TZID=America/Toronto:20260527T140000
SEQUENCE:0
TRANSP:TRANSPARENT
DTEND;TZID=America/Toronto:20260527T153000
URL:https://uwaterloo.ca/pure-mathematics/events/differential-geometry-work
 ing-seminar-190
SUMMARY:Differential Geometry Working Seminar
CLASS:PUBLIC
DESCRIPTION:SPENCER KELLY\, UNIVERSITY OF WATERLOO\n\n_Sobolev Spaces Over 
 Compact Manifolds_\n\nThe space of smooth sections of a vector bundle over
  a manifold is an\ninfinite dimensional Fréchet Space\, and thus many of 
 the tools used\nin finite-dimensional geometry are rendered useless on thi
 s space.\nHowever\, taking the completion of this space with respect to th
 e\nSobolev norm\, we obtain a Banach space. What's even better is that in\
 nthe $L^2$ case we obtain a Hilbert space. In this talk we will walk\nthro
 ugh different constructions of the$L^2$-Sobolev spaces of sections\nof a v
 ector bundle over a compact manifold\, and discuss the Sobolev\nembedding 
 theorem. We will also work through some of the properties of\ndifferential
  operators on this space and\, time permitting\, we will\nfinish with the 
 Berger-Ebin decomposition for differential operators\nwith injective symbo
 l.\n\nMC 5417
DTSTAMP:20260522T211500Z
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