题目 : BNSR invariants and the tropical variety of jump loci

报告人：刘永强，中国科学技术大学

时间：2025年1月2日（星期四）14点

地点：东区第五教学楼5202教室

摘要：Papadima and Suciu studied the relationship between the Bieri-Neumann-Strebel-Renz (short as BNSR) invariants of a space and its homology jump loci of rank one local systems. Recently, Suciu improved these results using the tropical variety associated to the  homology jump loci of complex rank one local systems. In particular, the translated positive-dimensional component of homology jump loci can be detected by its tropical variety. In this paper, we extend Suciu's results to any field coefficients and integer coefficients, hence get better upper bounds for the BNSR invariants.