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UID:89663b9620f8a0b6e6203e28691e6bbf
CATEGORIES:Learning Seminar on PDE and Applications
CREATED:20230329T142646
SUMMARY:A constructive proof for the existence of $\sigma_2$-Yamabe problem for $n=8$
LOCATION:Hill 705
DESCRIPTION:<p><strong style="line-height: normal;">Abstract:</strong><strong style="co
 lor: #000000; font-family: -webkit-standard; font-size: 15px; letter-spacin
 g: normal; orphans: 2; text-align: left; text-indent: 0px; text-transform: 
 none; white-space: normal; widows: 2; word-spacing: 0px; background-color: 
 #ffffff;">&nbsp;</strong>Consider the compact Riemannian manifold $(M,g)$ o
 f dimension $n\geq 5$. The $\sigma_2$ Yamabe problem seeks to find a confor
 mal metric to $g$ that has a constant $\sigma_2$ curvature. Sheng-Trudinger
 -Wang have previously proved the existence of such a metric when $n\geq 5$,
  while Ge-Wang have provided a constructive proof for $n\geq 9$. In this ta
 lk, we will present a constructive proof for the case $n=8$ and discuss the
  obstruction for such construction when $5\l eq n\leq 7$. The proof is a jo
 int work with Bin Deng and Juncheng Wei.</p><p style="margin: 0in 0in 0.000
 1pt; font-size: 12pt; font-family: 'Times New Roman', serif;">Seminar websi
 te: &nbsp;Learning Seminar on PDE and Applications&nbsp; &nbsp; &nbsp;(<a h
 ref="https://sites.math.rutgers.edu/~yyli/Learningseminar.html" style="bord
 er: 0px; font: inherit; margin: 0px; padding: 0px; vertical-align: baseline
 ;" data-auth="NotApplicable" data-safelink="true" data-linkindex="0"></a><a
  href="https://sites.math.rutgers.edu/~yyli/Learningseminar.html">https://s
 ites.math.rutgers.edu/~yyli/Learningseminar.html</a>)</p>
CONTACT:Han Lu, University of Notre Dame
DTSTAMP:20260907T184905
DTSTART;TZID=America/New_York:20230330T140000
DTEND;TZID=America/New_York:20230330T150000
SEQUENCE:0
TRANSP:OPAQUE
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