讲座内容简介：
This talk concerns the isomorphic lower-dimensional Busemann-Petty problem. This problem has been attracted many attentions. For instance, A. Koldobsky considered this problem for Lebesgues measure (Adv. in Appl. Math. 71:138-145, 2015), G. Chasapis et al.'s result for general log-concave measures (Adv. Math. 306:880-904, 2017). In this talk, we will give new different solutions to the problem for arbitrary s-concave measures, containing the cases 0<s<1/n, s<0 and \log-concave cases.

讲座人简介：
武登辉，理学博士，西北农林科技大学理学院青年教师，美国《数学评论》评论员，研究方向：凸几何分析、积分几何、调和与泛函分析。主要研究Lp-Minkowski问题，与凸体的截面和投影的体积相关的问题，并在一般测度下考虑其相应的问题。先后在《J. Math. Anal. Appl.》, 《Adv in Appl. Math.》, 《Sci. China Math.》, 《Geom. Dedicata》, 《Math. Inequal. Appl.》, 《Taiwan. J. Math.》等知名数学期刊发表多篇学术论文。