一、报告题目：Singular Integrals and Geometry
二、报告人：Professor Yongsheng Han
三、时间：2024年5月22日(周三)14:00—16:00
四、地 点：闻理园 A4—309
报告摘要：It was well known that geometric considerations enter in a decisive way in many questions of analysis. As Meyer, the recipient of the 2017 Abel Prize, remarked “One is amazed by the dramatic changes that occurred in analysis during the twentieth century. In the 1930s complex methods and Fourier series played a seminal role. After many improvements, mostly achieved by the Calder ́on–Zygmund school, the action takes place today on spaces of homogeneous type. No group structure is available, the Fourier transform is missing, but a version of harmonic analysis is still present. Indeed the geometry is conducting the analysis.”
In this talk, we will concentrate on questions that how the geometrical considerations play a crucial role in the theory of singular integrals. We will attempt to give a broad overview of the descriptions of the singular integrals, such as, nonstandard singular integrals which include the flag singular integrals, singular integrals in the Dunkl setting and the singular integrals associated with the Zygmund dilations.
报告人简介：韩永生教授是国际知名的调和分析专家。先后在北京大学师从我国著名的数学家程民德院士和邓东皋教授，在美国华盛顿大学师从世界调和分析大师G. Weiss教授。韩永生是美国奥本大学数学系终身教授，长期从事调和分析的教学与研究，尤其是函数空间理论，已在Mem. Amer. Math. Soc., Trans. Amer. Math. Soc., J. Geom. Anal., J. Funct. Anal., Proc. Am. Math. Soc., Diss. Math., Ann. Sc. Norm. Cl. Sci., Rev. Mat. Iberoam., Stud. Math., Math. Z., Math. Res. Lett., J. Fourier Anal. Appl., Sci. China Math.等高影响期刊上发表140余篇高水平学术论文。SCI他引1000多次，撰写出版专著《Harmonic Analysis on Spaces of Homogeneous Type》《H^p空间》《近代调和分析方法及其应用》等。韩永生目前担任多家国际数学杂志编委。
欢迎广大师生参加！联系人：调和分析与PDE团队
