四川大学凸几何及其应用小型学术会议
邀请人：张世清教授 盛利教授
2023年10月13日
长江数学中心302
779 842 337(腾讯会议)
时间：9：00~10：00
主讲人：周家足 教授
工作单位：西南大学
报告题目：Isoperimetric inequalities for mean curvature integrals
摘要：It is known that the geometric isoperimetric inequality is equivalent to the functional Sobolev inequality. Recent researches confirm connections between geometric isoperimetric inequalities and analytic functional inequalities. In this talk, we will report some recent progress on isoperimetric inequalities for mean curvature integrals. The talk may cover some joint works with N. Fang, X. Li, H. Wang, W. Xu, C. Zeng, Z. Zhang and B. Zhu.
时间：10：10~11：00
主讲人：窦井波 教授
工作单位：陕西师范大学
报告题目：A sharp weighted logarithmic Sobolev inequality involving a divergent operator on the upper half space
摘要：In this talk, we present a sharp weighted logarithmic Sobolev inequality involving a divergent operator with degeneracy on the boundary on the upper half space. We discuss existence, uniqueness and cylindrical symmetry of extremal function.
时间：11：10~12：00
主讲人：刘建成 教授
工作单位：西北师范大学
报告题目：PMCV hypersurfaces in non-flat pseudo-Riemannian space forms
摘要：We proved that PMCV hypersurface of a non-flat pseudo-Riemannian space form with at most two distinct principal curvatures has constant mean curvature, and is minimal or locally isoparametric, and computed the mean curvature for the isoparametric ones. As an application, we gave full classification results of such non-minimal Lorentzian hypersurfaces of non-flat Lorentz space forms.
时间：15：50~16：50
主讲人：徐文学 教授
工作单位：西南大学
报告题目：New isoperimetric-type inequalities for convex bodies
摘要：In this talk, firstly, we will introduce the famous Crofton formulas and chord power integrals in integral geometry and convex geometry. Then, we’ll introduce two different entropies, chord entropy and projection entropy, of convex bodies in the Euclidean space. By using the integral geometric method and p-quermassintegrals, respectively, we establish the isoperimetric-type inequalities for them. Some stronger inequalities than the classical isoperimetric inequality and the dual Urysohn inequality will be posed. This is a joint work with Leiqin Yin and Jiazu Zhou.
时间：16：50~17：50
主讲人：陈刚 博士
工作单位：广州汇富研究院
报告题目：2π-e Formula, Formulas of the Fine-structure Constant and Formulas of the Anomalous Magnetic Moment of Electron, Muon and Tauon.
摘要：In this talk, we will present four principles of a new scientific theory which we call the theory of chirality, and one of the four principles is 2π-e formula which is specially beautiful and useful. Based on 2π-e formula and Richard Feynman’s prediction to the terminus of hydrogen-like elements (the 137th element, Fy), we developed two reasonable and precise formulas of the fine-structure constant which was a centurial mystery of physics. Based on these formulas and Julian Schwinger’s famous approximate formula for the anomalous magnetic moment of electron, we developed reasonable and precise formulas of the anomalous magnetic moment of electron, muon and tauon in 2021-2023, with one of which we calculated out the value of the anomalous magnetic moment of muon to be 0.00116592057 on 2021/6/13 and 2023/3/10, and this prediction was perfectly verified by the latest measurement result of Fermilab announced on 2023/8/10 which was 0.00116592057(25).