Speaker：Juncheng Wei (The Chinese University of Hong Kong)

Time：2025-3-18, 16:30

Location：Conference Room S102 at Experiment Building at Haiyun Campus

Abstract:

We consider the compactness of solutions set of Q-curvature Problem. Wei and Zhao in 2013 showed non-compactness in dimensions 25 or above. Li and Xiong proved compactness in dimensions 5 to 9. In this talk we will prove compactness in the remaining dimensions $10\leq n\leq 24$. Our key observation is a cancellation property because of the amazing algebraic structure of the Paneitz operator. We also prove similar results for Q_6. (Joint work with L.Gong and S. Kim.)