Some comparison theorems for fractional GJMS operators (Please note the time change for this talk)

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Fang Wang, Shanghai Jiaotong University

*Please note the time change for this talk*

Online Talk

Zoom Link: https://princeton.zoom.us/j/99576580357

In this talk, I will first introduce an inequality for the Yamabe constants of order 1 and of order 2.  By characterizing the equality case, this leads to a rigidity theorem for the conformally compact Einstein manifold. Then I will introduce my recent work on the inequalities (pointwise) for the fractional Q-curvatures of different orders, as well as some interesting applications of these inequalities.