Speaker: Yongqiang Liu 刘永强 (USTC 中国科学技术大学)
Time: 2025-11-17 10:30-11:30
Location: 910, SIMIS
Abstract: Bieri and Strebel’s work about the Bieri-Neumann-Strebel-Renz (short as BNSR) invariants of groups is one of the origins of the tropical geometry. Following Bieri and Strebel’s work, Suciu recently generalized these results from groups to spaces using the tropical variety associated to the homology jump loci of complex rank one local systems. In this talk, we refine Suciu’s results using the tropical variety of twisted homology jump loci and give a better upper bound for the BNSR invariants. As an application, we show that the twisted Alexander polynomial of the Kähler group is always trivial. This talk is based on a work in progress jointly with A. I. Suciu.
About Speaker: Dr. Yongqiang Liu earned his Ph.D from University of Science and Technology of China in 2015. He subsequently conducted postdoctoral research at KU Leuven (2015-2018) and Banquet center for applied mathematics (2018-2019). He is currently a tenure-track assistant professor at The Insitute of Geometry and Physics, University of Science and Technology of China.
English 
简体中文