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UID:e1f27597cbf4f49359493646d4c166d6
CATEGORIES:Nonlinear Analysis
CREATED:20230323T104542
SUMMARY:A non-compactness result for $\sigma_2$-Yamabe problem
LOCATION:Hill Center Room 705
DESCRIPTION:Abstract: Let (M,g) be a compact Riemannian manifold of dimension $n\geq 3$
 . The $\sigma_k$-Yamabe problem is concerned with finding metric of constan
 t $\sigma_k$-curvature in the conformal class of g. The compactness of the 
 $\sigma_k$-Yamabe problem is still widely open when $n/2> k\geq 2$. We w
 ill present a non-compactness result for the $\sigma_2$-Yamabe problem when
  n is large. This is a joint work with Bin Deng and Juncheng Wei.\nSeminar 
 website:  Nonlinear Analysis Seminar ( (https://sites.math.rutgers.edu/~yyl
 i/NonlinearAnalysisSeminar.html)https://sites.math.rutgers.edu/~yyli/Nonlin
 earAnalysisSeminar.html (https://sites.math.rutgers.edu/~yyli/NonlinearAnal
 ysisSeminar.html)) \n
X-ALT-DESC;FMTTYPE=text/html:<p><strong>Abstract:&nbsp;</strong>Let (M,g) be a compact Riemannian manifo
 ld of dimension $n\geq 3$. The $\sigma_k$-Yamabe problem is concerned with 
 finding metric of constant $\sigma_k$-curvature in the conformal class of g
 . The compactness of the $\sigma_k$-Yamabe problem is still widely open whe
 n $n/2&gt; k\geq 2$. We will present a non-compactness result for the $\sig
 ma_2$-Yamabe problem when n is large. This is a joint work with Bin Deng an
 d Juncheng Wei.</p><p>Seminar website: &nbsp;Nonlinear Analysis Seminar (<a
  href="https://sites.math.rutgers.edu/~yyli/NonlinearAnalysisSeminar.html" 
 data-auth="NotApplicable"></a><strong><a href="https://sites.math.rutgers.e
 du/~yyli/NonlinearAnalysisSeminar.html">https://sites.math.rutgers.edu/~yyl
 i/NonlinearAnalysisSeminar.html</a></strong>)&nbsp;</p>
CONTACT:Han Lu, University of Notre Dame
DTSTAMP:20260828T113728
DTSTART;TZID=America/New_York:20230328T134000
DTEND;TZID=America/New_York:20230328T144000
SEQUENCE:0
TRANSP:OPAQUE
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