报告人：叶宜峰 博士后（重庆师范大学）

时间：2026年5月11日 10:50-

地点：理科楼LA104

摘要：The study of diagonal distributions of operators on Hilbert spaces is a long-standing topic in operator algebra, dating back to Schur's work in 1923 on the relationship between the diagonal entries and eigenvalues of a self-adjoint matrix. About two decades ago, Kadison established his Carpenter's theorem, which characterized the sequences that can appear on the diagonal of a matrix representation of a projection. However, the diagonal distribution of products of multiple projections remains unexplored. Recently, we explicitly calculated the boundary curves of the trace range of products of multiple projections with the same trace in a finite factor. In particular, the boundary curve of trace range of products of three projections with the same trace in a finite factor is shown to be a degenerate elliptic curve. Using the unitary-conjugate invariant probability measure on Grassmann spaces, the trace distributions of products of multiple random projections and the diagonal entropy of projections are also studied. This talk is based on joint works with Yinan Guo, Linzhe Huang, Minghui Ma and Wenming Wu.

邀请人：数学研究中心

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