时间：2021年11月20日（星期六）  9:00-16:00

地点：腾讯会议号951235067

线下会议地点：苏州香雪海酒店（胥江路）

时间：9：00-9：40

报告人：宗传明教授（天津大学）

题目: Characterization of Three-Dimensional Multiple Tiles

摘要： In 1885, Fedorov characterized the three-dimensional lattice tiles. They are parallelotopes, hexagonal prisms, rhombic dodecahedra, elongated dodecahedra, or truncated octahedra. Through the works of Minkowski, Voronoi, Delone, Venkov and McMullen, we know that, in all dimensions, every translative tile is a lattice tile.
  Recently, Mei Han, Kirati Sriamorn, Qi Yang and Chuanming Zong have made a series of discoveries in multiple tilings in two and three dimensions. In particular, in three dimensions, they proved that, if a convex body can form a two, three or fourfold translative tiling, it must be a lattice tile (a parallelohedron). In other words, it must be a parallelotope, a hexagonal prism, a rhombic dodecahedron, an elongated dodecahedron, or a truncated octahedron. In this talk, we will report this progress.

时间：9：45-10：25

报告人：周家足教授（西南大学）

题目:  Geometric measures and quermassintegrales on set of convex bodies

摘要： We will investigate the geometric measure on set of convex bodies. The late researches indicate those geometric measures are closely related to quemassintegrales and mean curvature integrals. The talk is based on joint works with N. Fang, W. Xu and B. Zhu.

时间：10：35-11：15

报告人：吕松军教授（常熟理工学院）

题目：Functional dual affine isoperimetry

摘要：Around the $L-p$ moment-entropy inequality, associated affinizations are dicussed for $p>0$ and $-n<p<0$, respectively. As a consequence, a partial theory of dual Minkowski inequality for functions, especially,
the functional versions of dual mixed volume inequalities and their affinizations, is presented.

报告人：马丹教授（上海师范大学）

题目:  若干与SL(n)相容的赋值刻画

摘要： 在1872 年德国著名数学家Klein 提出了Erlangen 纲领之后, 研究和刻画在变换群作用下不变的几何量一直是几何学研究的核心. 赋值则是几何量通常满足的另一性质. 经典的赋值Z 是定义在K^n(n 维欧氏空间中的凸体空间) 上取值于Abel半群的一类满足以下性质的映射"Z" (K)+"Z" (L)="Z" (K∪L)+"Z" (K∩L),其中, K,L,K∪L∈K^n. 本报告将介绍若干凸多面体空间上与SL(n)相容的赋值刻画结果，包括矩向量、面向量、矩矩阵和LYZ矩阵.

时间：14：30-15：10

报告人：李晋教授（上海大学）

题目:  Valuations and the Orlicz Brunn-Minkowski theory

摘要： Negative and positive connections between valuations and the Orlicz Brunn-Minkowski theory are introduced in this talk. The negative connection is that affine convex body-valued valuations with respect to the Orlicz addition are only interesting if the addition is Lp addition. The positive connection is that there are nice extensions of Lp projection body and Lp moment body to general affine function-valued valuations.

时间：15：15-15：55

报告人：吴森林教授（中北大学）

题目:  Covering functionals of convex polytopes with few vertices

摘要： By using elementary yet interesting observations and refining techniques used in a recent work by Fei Xue et al., we present new upper bounds for covering functionals of convex polytopes in $\mathbb{R}^n$ with few vertices. In these estimations, no information other than the number of vertices of the convex polytope is used.

欢迎广大师生参加！

数学科学学院