To fully showcase the latest research progress in convex geometry analysis and related fields, and further strengthen academic exchange and cooperation in this domain, the School of Science, Jiangxi University of Science and Technology is scheduled to host the "2025 Jiangxi University of Science and Technology Seminar on Convex Geometry Analysis and Related Fields" in Ganzhou, Jiangxi Province, from December 5 to December 7, 2025.

The arrangement of academic reports is as follows:

(In alphabetical order of speakers' surnames)

Lecture Title：Affine Logarithmic HLS and Beckner-Type Logarithmic Sobolev Inequalities

Speaker： Xiaoxing Cai(Vienna University of Technology)

Content Summary：In this paper, we consider two limiting cases ( a \to n and a \to 0) of the affine HLS inequalities introduced by Haddad and Ludwig. We establish an affine logarithmic HLS inequality and an affine version of Beckner’s logarithmic Sobolev inequality, both of which are stronger than their classical counterparts-namely, the logarithmic HLS inequality of Carlen and Loss (1992) and Beckner (1993), and Beckner’s logarithmic Sobolev inequality (1995). For both inequalities, we obtain sharp constants together with a complete characterization of all equality cases.

Brief Biography： Xiaoxing Cai,doctor of Philosophy , Vienna University of Technology, has published some of her research findings in internationally renowned journals such as Adv.Math.

Time and Venue：October 7, 2025, 08:30–09:15  Meeting Room 401, School of Science

Lecture Title：Minkowski algebra of closed convex sets and open convex sets

Speaker： Beifang Chen

Content Summary： The Minkowski algebra for closed sets and the Minkowski algebra of open convex sets can be both well defined. However there is difficulty to define Minkowski algebra for class of closed convex sets and open convex sets, as the intersection of closed convex set and an open convex set may be pathological. This talk presents a way to define Minkowski algebra to have the pathological cases removed.

Brief Biography： Professor Beifang Chen is a Tenured Professor at the Hong Kong University of Science and Technology (HKUST) and an Honorary Professor at Nankai University, as well as a renowned contemporary graph theorist and geometric combinatorialist. He obtained his PhD from the State University of New York (USA) in 1991 and has previously taught at the Massachusetts Institute of Technology (MIT). Under the mentorship of the algebraic combinatorics master Professor Gian-Carlo Rota,he pioneered a new research field integrating combinatorial mathematics ideas into geometry and topology studies. Professor Chen has achieved groundbreaking research results in multiple directions, including discrete globalzgeometric topology, lattice point geometry, triangulation of manifolds and general spaces, combinatorial surface research, and graph theory. He has published nearly 60 papers in top international mathematical journals such as PNAS, CPAM, AIM, JCTB, and JCTA.

Time and Venue：October 7, 2025, 11:15–12:00  Meeting Room 401, School of Science

Lecture Title：On the L p -sine moment-entropy inequality

Speaker： Aijun Li

Content Summary：In this paper, we establish a sine version of the moment-entropy inequality due to Lutwak et al. (Ann. Probab., 2004). Moreover, we show that this inequality is equivalent to the L-p-sine moment-entropy inequality recently established in Adv. Math., 2019.

Brief Biography： Aijun Li, PhD, Postdoctoral Fellow at New York University (USA), is currently a Professor, Master's Supervisor at Zhejiang University of Science and Technology, and a Reviewer for Mathematical Reviews (USA). His main research interests focus on convex geometry analysis and geometric inequalities. In June 2019, he was invited to attend the 8th International Congress of Chinese Mathematicians (ICCM) held at Tsinghua University and delivered a 45-minute invited lecture. He has presided over two National Natural Science Foundation of China (NSFC) projects and participated in one Key Program of the National Natural Science Foundation of China. He has published more than 30 SCI-indexed papers in prestigious journals such as J. Funct. Anal., Adv. Math., J. London Math. Soc., J. Geom. Anal., IMRN, and Math.Z.

Time and Venue：October 6, 2025, 11:15–12:00  Meeting Room 401, School of Science

Lecture Title：Tensor valuations of small order

Speaker： Jin Li

Content Summary：Valuations are scissors congruence invariants that play fundamental roles in Hilbert's third problem. In this talk, I will present a complete classification of SL(n) contravariant, p-order tensor valuations on convex polytopes in R^n for n\geq p without imposing additional assumptions, particularly omitting any symmetry requirements on the tensors. Beyond recovering known symmetric tensor valuations, our classification reveals asymmetric counterparts associated with the cross tensor and the Levi-Civita tensor. Additionally, some Minkowski type relations for these asymmetric tensor valuations will be represented, extending the classical Minkowski relation of surface area measures.

Brief Biography： Jin Li, an Associate Professor at Shanghai University who earned his PhD from the same institution and pursued postdoctoral research at TU Wien (Vienna University of Technology), has been selected for the Shanghai High-Level Young Talent Program and the Austrian Lise Meitner Postdoctoral Fellowship (2019–2021). He was awarded the TU Wien Best Paper Award (2017) and has published a number of academic papers in leading journals including Adv. Math., Trans. Amer. Math. Soc., J. Funct. Anal., Int. Math. Res. Not., and Indiana Univ. Math. J.

Time and Venue：October 6, 2025, 09:25–10:10  Meeting Room 401, School of Science

Lecture Title：Ideal Decomposition of Hyperplane Arrangements

Speaker： Suijie Wang

Content Summary： A hyperplane arrangement A over a finite-dimensional vector space V is a collection of affine hyperplanes. The combinatorial structure of A is captured by its intersection poset L(A)，which records the intersections of these hyperplanes. The characteristic polynomial X(A,t) of A is the most important invariant, with deep connections to combinatorial, algebraic and topological properties of A. In this talk, we will introduce an ideal decomposition of L(A) that enables the factorization of X(A,t) into the product of characteristic polynomials of lower ideals of  L(A).

Brief Biography： Suijie Wang, who earned his PhD from the Hong Kong University of Science and Technology (HKUST) in 2010 under the supervision of Professor Beifang Chen, joined Hunan University in 2013. He is currently a Professor and Doctoral Supervisor at the College of Mathematics, Hunan University.His research focuses on the combinatorics of hyperplane arrangements, with primary interests in combinatorial classification, combinatorial enumeration, and combinatorial measures of hyperplane arrangements. Relevant research findings have been published in specialized journals such as Journal of Combinatorial Theory, Series A/B (JCTA/JCTB).

Time and Venue：October 7, 2025, 10:30–11:15  Meeting Room 401, School of Science

Lecture Title：SL(n) covariant matrix-valued valuations on functions

Speaker： Wei Wang

Content Summary：In this talk, we focus on the characterization of matrix-valued valuations on functions.All continuous and SL(n) covariant matrix-valued valuations on functions with finite second moments are completely classified without the symmetry assumption.The moment matrix is shown to be the unique such valuation if  n\geq 3,  while it is essentially the only such valuation in dimension two.

Brief Biography： Wei Wang, PhD, Associate Professor, serves as Vice Dean of the School of Mathematics and Statistics, Hunan University of Science and Technology. He is also recognized as an Excellent Young Teacher in Teaching among Hunan Provincial Colleges and Universities. Having presided over 5 research projects, including those funded by the National Natural Science Foundation of China (NSFC) and provincial/municipal-level programs, he has published more than 30 academic papers in renowned domestic and international journals such as Calc. Var. Partial Differential Equations, Int. Math. Res. Not., Indiana U. Math. J., Canad. J. Math., and Adv. Appl. Math.

Time and Venue：October 6, 2025, 14:00–14:45  Meeting Room 401, School of Science

Lecture Title：Anintroduction to the log-Brunn-Minkowski conjecture

Speaker： Dongmeng Xi

Content Summary：In this talk, we will revisit the log-Brunn-Minkowski conjecture proposed by Boroczky-Lutwak-Yang-Zhang in 2012, along with some remarkable related developments. Additionally, we will introduce our recent research on this conjecture, where we propose an equivalent and some achieve some new developments via this approach.

Brief Biography:Dongmeng Xi, Professor and Weichang Scholar, received support from the National Excellent Young Scientist Fund in 2023. His primary research interests lie in geometric analysis, convex geometry, and integral geometry.He has achieved several significant breakthroughs in key areas of integral geometry, including the Minkowski problem, the Dar conjecture and the Log-Brunn-Minkowski inequality(having solved the planar case of the conjecture for the first time), the affine isoperimetric problem, and analytical inequalities. These findings have been published in top-tier international mathematical journals such as Comm. Pure Appl., Math.J., Differential Geom.Math., Ann.Adv. Math.,Trans. Amer. Math. Soc.,IMRN and J. Funct. Anal..Many of his results have been cited and highly acclaimed in papers published in prestigious mathematical journals, including Memoirs of the American Mathematical Society and Journal of Differential Geometry (J. Differential Geom.).
Time and Venue：October 7, 2025, 09:15–10:00  Meeting Room 401, School of Science

Lecture Title：On the higher-order affine isoperimetric and isocapacitary inequalities

Speaker： Deping Ye

Content Summary：Affine isoperimetric and isocapacitary inequalities are fundamental results in convex geometric analysis. They reveal deep relationships between geometric quantities that are preserved under volume preserving transformations and have significant connections with analysis, partial differential equations, and related areas.

The talk will focus on a higher-order generalization of these inequalities in the space of real matrices M(n,m)(R). Within this framework, I will introduce several affine invariants—such as the m-th-order p-affine capacity, Orlicz projection bodies, and Orlicz centroid bodies—and present our contributions to their associated affine inequalities.

Brief Biography： Deping Ye is a Tenured Professor at Memorial University of Newfoundland. He received his Bachelor's degree from Shandong University in 2000, pursued his Master's studies at Zhejiang University from 2000 to 2003, and earned his PhD from Case Western Reserve University (USA) in 2009.Currently, he serves as Associate Editor of the Canadian Journal of Mathematics ,Canadian Mathematical Bulletin and Canadian Mathematical Communications. He has presided over research projects funded by the Natural Sciences and Engineering Research Council of Canada (NSERC) and was awarded the JMAA Ames Prize in 2017.His long-term research focuses on convex geometric analysis, geometric and functional inequalities, random matrices, quantum information theory, and statistics. He has published nearly 50 academic papers in internationally renowned journals such as Comm. Pure Appl. Math., Adv. Math., J. Funct. Anal., Math. Ann., and CVPDE.

Time and Venue：October 6, 2025, 08:40–09:25  Meeting Room 401, School of Science

Lecture Title:A solution to Suss conjecture

Speaker： Ning Zhang

Content Summary：In this talk, we will give a solution to Suss conjecture, which asked whether the congruent transform in sections can determine the bodies. And we will also talk about the relation between Suss conjecture and Banach conjecture.

Brief Biography： Ning Zhang is an Associate Researcher at Huazhong University of Science and Technology (HUST). He earned his PhD from the University of Alberta in 2017 and subsequently held a postdoctoral position at the Mathematical Sciences Research Institute (MSRI, USA).

His main research areas cover convex geometry, geometric analysis, Riemannian geometry, and probability-related fields. Some of his research findings have been published in academic journals such as Transactions of Trans. AMS,JFA,JDE, and CVPDE.

Time and Venue：October 6, 2025, 16:35–17:20  Meeting Room 401, School of Science

Lecture Title:The Long-wave-short-wave Resonance Models and Related Sym-Pohlmeyer Moving Curves

Speaker： Shiping Zhong

Content Summary：Using the Sym-Pohlmeyer reconstruction formula, this paper devotes to exploring geometric properties of two integrable long-waveshort-wave (LWSW) resonance models, including the Yajima–Oikawa system and the Newell system, which appear in fluid mechanics as well as plasma physics. The Landau-Lifshitz-type models of Sym-Pohlmeyer moving curves evolving in the reductive homogeneous space GL(3, C)/(C*)^3 with corresponding initial data being suitably restricted are gauge equivalent to two integrable LWSW resonance models. These results give corresponding geometric realizations of two integrable LWSW resonance models.

Brief Biography： Shiping Zhong's main research focuses on geometric analysis-related fields, such as geometric flows on symmetric spaces and the Vortex Filament Theory. Her papers have been published in journals including Pac. J. Math.,Sci. China Math., J. Geom. Phys., Result. Math., and Science China (Mathematics).

Time and Venue：October 6, 2025, 15:50–16:35  Meeting Room 401, School of Science

Lecture Title：Holder regularity of the complex Monge-Ampere equation

Speaker： Bin Zhou

Content Summary：In this talk, we discuss the global Holder regularity of solutions to Dirichlet problem for the complex Monge-Ampere equation with L^p density and Holder boundary value.

Brief Biography： Bin Zhou is a Researcher, Doctoral Supervisor at the School of Mathematics, Peking University, and a recipient of the National Young Talent Program. He graduated from Peking University and the Australian National University in 2010.His main research interests lie in complex geometry, geometric analysis, and fully nonlinear equations. He was awarded the Discovery Early Career Research Award by the Australian Research Council (ARC) in 2012 and received funding from the National Young Scientist Fund in 2018. Having presided over and completed multiple National Natural Science Foundation of China (NSFC) projects, he has published more than 20 high-quality academic papers in internationally authoritative journals such as Annals of PDE, JEMS,Adv. Math., Peking Math. J., Trans. AMS, JFA.

Time and Venue：October 6, 2025, 10:30–11:15  Meeting Room 401, School of Science

Lecture Title：The mth Order Orlicz Projection Bodies

Speaker： Xia Zhou

Content Summary：With the help of  the classical Steiner symmetrization  and the Fiber symmetrization by McMullen, we can establish the higher-order Orlicz-Petty projection inequality.

Brief Biography： Xia Zhou, female, holds a PhD from the Department of Mathematics and Statistics, Memorial University of Newfoundland (Canada). Her research focuses on geometric probability and convex analysis, with primary interests in m-th order Orlicz projection bodies, centroid bodies, p-affine capacity, as well as their corresponding higher-order affine isoperimetric and isocapacitary inequalities. She also investigates related topics such as the Musielak-Orlicz-Minkowski type problems.

As the first author, she has published several papers in international journals including The Journal of Geometric Analysis and Journal of Mathematical Analysis and Applications. She has delivered academic reports at the Annual Meeting of the Canadian Mathematical Society (CMS) and the International Conference on Discrete and Computational Geometry (DCCG), and her research findings have attracted attention from scholars in the field.

Time and Venue：October 6, 2025, 14:45–15:30  Meeting Room 401, School of Science