Space of ancient caloric functions on some manifolds beyond volume doubling

发布时间：2025-09-09 作者：浏览次数：

Speaker:	邱红兵	DateTime:	2025年9月11日（周四）上午 10:30-11:30
Brief Introduction to Speaker: 邱红兵，武汉大学副教授，博士生导师。研究方向为微分几何，特别是子流形几何、平均曲率流和广义调和映照等相关领域。曾先后长期访问德国莱比锡马普数学研究所和美国麻省理工学院数学系。已在Adv. Math、J. Funct. Anal.、Calc. Var. PDE、Math. Res. Lett.、J. Geom. Anal.等国际期刊上发表SCI论文20余篇。主持国家级(含面上项目2项)和省部级项目各4项。		Place:	国交2号楼315会议室
Abstract:Under a condition that breaks the volume doubling barrier, we obtain a time polynomial structure result on the space of ancient caloric functions with polynomial growth on manifolds. As a byproduct, it is shown that the finiteness result for the space of harmonic functions with polynomial growth on manifolds in [Colding-Minicozzi, Ann. Math.,1997] and [Li, MRL.,1997] are essentially sharp, except for the multi-end cases, addressing an issue raised in [Colding-Minicozzi, CPAM.,1998] and removing all local topological or geometric conditions on the manifold with respect to a reference point. This is a joint work with Professors Fanghua Lin, Jun Sun and Qi S. Zhang.