A Paneitz-type operator for CR pluriharmonic functions

Friday, September 28, 2012 -
3:00pm to 5:00pm
Paul Yang and I recently found a new fourth order CR-invariant operator on CR pluriharmonic functions in three dimensions which generalizes to the abstract setting the operator on the sphere discovered by Branson, Fontana, and Morpurgo.  I will describe the similarities between this operator and the (conformal) Paneitz operator, and how this helps to better understand some problems in CR geometry.
Jeffrey Case
Princeton University
Event Location: 
Fine Hall 314