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SUMMARY:Max Reinhold Jahnke (Universität zu Köln)
DTSTART:20260721T140000Z
DTEND:20260721T150000Z
DTSTAMP:20260914T084058Z
UID:Geolis/182
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Geolis/182/"
 >Cohomology of CR structures on compact Lie groups</a>\nby Max Reinhold Ja
 hnke (Universität zu Köln) as part of Geometria em Lisboa (IST)\n\n\nAbs
 tract\nWe show that\, under a division condition\, the tangential Cauchy-R
 iemann cohomology of a compact Lie group with a left-invariant CR structur
 e can be computed on a suitable maximal torus. As a consequence\, we concl
 ude that the tangential Cauchy-Riemann cohomology is finite-dimensional. W
 e also show that\, for a class of CR structures\, this division condition 
 is necessary for the total cohomology to be finite-dimensional. The proof 
 combines Fourier analysis on compact Lie groups\, highest-weight represent
 ations and Lie algebra cohomology. This not only generalizes but provides 
 completely new proofs for the analogous result due to Pittie and for its e
 xtensions to Levi-flat CR structures\, obtained by Jacobowitz and Jahnke.\
 n
LOCATION:https://researchseminars.org/talk/Geolis/182/
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