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SUMMARY:Michael Francis (University of Western Ontario)
DTSTART:20240124T200000Z
DTEND:20240124T210000Z
DTSTAMP:20260420T052741Z
UID:NYC-NCG/149
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NYC-NCG/149/
 ">Holonomy and the Newlander-Nirenberg theorem in $b^k$-geometry</a>\nby M
 ichael Francis (University of Western Ontario) as part of Noncommutative g
 eometry in NYC\n\n\nAbstract\nMelrose introduced $b$-geometry as a paradig
 m for studying operators on a manifold that suffer a first-order degenerac
 y along a hypersurface. Scott considered higher-order degeneracies\, intro
 ducing $b^k$-geometry for $k>1$. In this talk we consider two different as
 pects of (a slight variation of) Scott's $b^k$-geometry: one global and on
 e local. Firstly\, we discuss the classification of $b^k$-geometries by a 
 holonomy invariant (similar results were obtained independently by Bischof
 f-del Pino-Witte). We also discuss the Newlander-Nirenberg for complex $b^
 k$-manifolds. Complex $b$-manifolds ($k=1$) were defined by Mendoza the Ne
 wlander-Nirenberg theorem for $b$-manifolds was obtained by Francis-Barron
 .\n
LOCATION:https://researchseminars.org/talk/NYC-NCG/149/
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