Classical arguments and their limitations in conformal geometry
数学专题报告
报告题目(Title)：Classical arguments and their limitations in conformal geometry
报告人(Speaker)：Martin Mayer (Scuola Superiore Meridionale, Italy)
地点(Place)：ZoomID: 942 9965 6235, PWD: 154986
时间(Time)：2024 年 4月 11日 16：00—17：00
邀请人(Inviter)：熊金钢
报告摘要
We consider the classical conformally prescribed scalar curvature problem on a closed Riemannian manifold. In the most generic and simple situations we review the relevant formulations, strategies and arguments to show solvability, in particular exhibiting some recent existence results. Complementarily we will see, that the theory as of today is far from being complete, as in most situations and for generic curvature candidate functions the underlying equation has trivial degree, but is solvable, while only a few obstructions are explicitly known.
* This PDE seminar is co-organized with Tianling Jin at The Hong Kong University of Science and Technology. See the seminar webpage:
https://www.math.hkust.edu.hk/~tianlingjin/PDEseminar.html
