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UID:703a3e408c913b6f4a68553146402efd
CATEGORIES:Complex Analysis and Geometry Seminar
CREATED:20230425T184218
SUMMARY:The Cauchy-Riemann Equations on Hartogs Triangles
LOCATION:Rutgers Camden\, Business and Science Building\, Room 132 
DESCRIPTION:Abstract: The Hartogs triangle in the complex Euclidean space is an importa
 nt example in several complex variables. It is a bounded pseudoconvex domai
 n with non-Lipschitz boundary. In this talk, we discuss the extendability o
 f Sobolev spaces on the Hartogs triangle and show that the weak and strong 
 maximal extensions of the Cauchy-Riemann operator agree (joint work with A.
  Burchard, J. Flynn and G. Lu). These results are related to the Dolbeault 
 cohomology groups with Sobolev coefficients on the complement of the Hartog
 s triangle. We will also discuss some recent progress for the Cauchy-Rieman
 n equations on Hartogs triangles in the complex\nprojective space (joint wo
 rk with C. Laurent- Thiébaut).\nThis seminar is held at Rutgers-Camden, as 
 part of a joint seminar with the Complex Analysis and Geometry seminar at R
 utgers-New\nBrunswick.\nThe talk will be concurrently broadcast on Zoom. \n
 Zoom Link: HTTPS://TINYURL.COM/9NRNVEUR (HTTPS://TINYURL.COM/9NRNVEUR)\n
X-ALT-DESC;FMTTYPE=text/html:<p>Abstract: The Hartogs triangle in the complex Euclidean space is an impo
 rtant example in several complex variables. It is a bounded pseudoconvex do
 main with non-Lipschitz boundary. In this talk, we discuss the extendabilit
 y of Sobolev spaces on the Hartogs triangle and show that the weak and stro
 ng maximal extensions of the Cauchy-Riemann operator agree (joint work with
  A. Burchard, J. Flynn and G. Lu). These results are related to the Dolbeau
 lt cohomology groups with Sobolev coefficients on the complement of the Har
 togs triangle. We will also discuss some recent progress for the Cauchy-Rie
 mann equations on Hartogs triangles in the complex<br>projective space (joi
 nt work with C. Laurent- Thiébaut).<br>This seminar is held at Rutgers-Camd
 en, as part of a joint seminar with the Complex Analysis and Geometry semin
 ar at Rutgers-New<br>Brunswick.</p><p>The talk will be concurrently broadca
 st on Zoom.&nbsp;<br>Zoom Link:&nbsp;<a href="https://math.rutgers.edu/HTTP
 S://TINYURL.COM/9NRNVEUR">HTTPS://TINYURL.COM/9NRNVEUR</a></p>
CONTACT:Mei-chi Shaw (U. Notre Dame)
DTSTAMP:20260829T173953
DTSTART;TZID=America/New_York:20230428T110000
DTEND;TZID=America/New_York:20230428T000000
SEQUENCE:0
TRANSP:OPAQUE
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