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Sino-Russian Mathematics Center-JLU Colloquium (2024-020)— S-curvature of homogeneous Finsler spaces

Posted: 2024-08-15   Views: 

Title: S-curvature of Homogeneous Finsler Spaces
Speaker: Shaoqiang Deng
Institution: College of Mathematical Sciences, Nankai University
Date & Time: August 16, 2024, 14:00–16:00
Location: Seminar Room 5, Mathematics Building, Jilin University

Abstract

This talk presents recent findings on the S-curvature of homogeneous Finsler spaces. We demonstrate that geodesic orbit Finsler spaces have vanishing S-curvature and construct examples of reversible non-Berwald spaces with this property. An explicit formula for the S-curvature of homogeneous Randers spaces is derived, followed by a complete classification of such spaces with positive flag curvature and vanishing S-curvature.

Biography of the Speaker

Shaoqiang Deng is a Professor and PhD Supervisor in the College of Mathematical Sciences at Nankai University, recognized as an expert enjoying the Government Special Allowance. Specializing in Lie groups and differential geometry, he has published over 100 research papers in prestigious journals such as Advances in Mathematics, Crelle's Journal, and Transactions of the AMS. His monograph Homogeneous Finsler Spaces (Springer Monographs in Mathematics, 2012) is a seminal work in the field.


A recipient of multiple honors, including the Ministry of Education’s Outstanding Young Teacher Grant (2003), New Century Excellent Talent Award (2004), Bao Steel National Excellent Teacher Award (2007), and the Second Prize of the National Natural Science Award for Higher Education (2014, first contributor), he has also been named Tianjin’s Famous Teacher (2015), a Tianjin May Day Labor Medal recipient (2016), and Tianjin Model Worker (2020). In 2022, he received the Second Prize of the Huo Yingdong Education Award.


He has led eight National Natural Science Foundation projects, including one key project, and served as a member of the Ministry of Education’s Mathematics Teaching Steering Committee (2013–2017, 2018–2022).