报告题目：Semidefinite Programming Bounds for Designs on Spheres and Hamming Spaces
报告人：Wei-Hsuan Yu
时间：2026年9月29日14:00-15:00
地点：第四教学楼215
摘要：We use semidefinite programming(SDP) methods for spherical codes and energy minimization to improve lower bounds for designs on spheres and Hamming spaces in low-dimensional cases. In particular, we use the SDP to improve the bounds for Hamming designs (or orthogonal arrays, equivalently) and the harmonic index 4-designs on spheres.
报告人简介：
Wei-Hsuan Yu is an associate professor in the Department of Mathematics at National Central University. He received his Ph.D. in Mathematics from the University of Maryland, College Park, under the supervision of Professor Alexander Barg. He was a fixed-term assistant professor at Michigan State University and a postdoctoral researcher at ICERM, Brown University.
His research interests include algebraic combinatorics, discrete geometry, and coding theory, with a particular focus on two-distance sets, equiangular lines, and combinatorial designs. He has published many papers in highly prestigious journals such as Advances in Mathematics, Journal of Combinatorial Theory Series A, Physical Review Letters. Professor Yu is supported from Ministry of Science and Technology’s Outstanding Young Scholars Research Program, the NCTS Young Theorist Award.
