Algebra & Geometry Seminar, Ali Maalaoui (Clark U), Q'-curvature and Spectra on Pseudo-Einstein 3-manifolds
Event Type:
Seminar
Speaker:
Ali Maalaoui (Clark University)
Event Date:
Wednesday, February 23, 2022 -
3:00pm to 4:00pm
Location:
Zoom link https://unm.zoom.us/j/97004030448 (contact vassilev@unm.edu for passcode)
Audience:
Faculty/StaffStudentsAlumni/Friends
Event Description:
Title: Q'-curvature and Spectra on Pseudo-Einstein 3-manifolds.
Abstract: In this talk I will present a link between the CR Beckner-Onofri type inequality proved by Branson-Fontana-Morpurgo and the spectral invariants of the $P'$-operator related to prescribing the $Q'$-curvature. This link can be tracked on one hand through the computation of the functional determinant of $P'$, namely $\zeta'_{P'}(0)$ and on the other hand through the logarithmic Hardy-Littlewood-Sobolev inequality, namely the regularized zeta function at 1.