Speaker: Guixiang Hong (Harbin Institute of Technology)
Host: Huaxin Lin
Abstract: In this talk, I shall present the first results in the literature on the pointwise convergence of Fejer means and Bochner-Riesz means on von Neumann algebras generated by groups which have certain approximation properties. The proof involves deep theory from harmonic analysis, operator algebra, and geometric group. Several problems will be mentioned. This is based on joint works with Simeng Wang (Harbin Institute of Technology) and Xumin Wang (Seoul National University).
Time: 2:30-3:30pm, Thursday, November 28, 2024
Location: Room 1210, SIMIS, Block A, No. 657 Songhu Road, Yangpu District, Shanghai
About the speaker: Guixiang Hong is a professor at Harbin Institute of Technology. He was selected for the National High-level Talents Youth Program in 2016 and approved for the National Science Fund for Distinguished Young Scholars in 2023. He specializes in harmonic analysis, non-commutative analysis, and their applications in non-commutative geometry and quantum information. He has made significant contributions to the development of this frontier field. He has published over 30 papers in top-tier journals such as the Duke Mathematical Journal, Memoirs of the American Mathematical Society, and Advances in Mathematics. His research directions cover classical and non-commutative harmonic analysis, quantum probability theory, non-commutative ergodic theory, and functional analysis, with breakthroughs achieved particularly in non-commutative martingale theory and non-commutative ergodic theory, solving several open problems.
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