中科院数学与系统科学研究院
数学研究所
代数几何研讨班
报告人: 吴 磊 博士（美国Utah大学）
题 目：Bernstein-Sato polynomials and topology
时 间：2019.05.21（星期二），09:30-10:30
地 点：数学院南楼N913室
摘 要：Riemann-Hilbert correspondence for nearby cycles implies that roots of the Bernstein-Sato polynomials (or b-functions) are related to eigenspaces of local monodromies. In general, Budur's conjecture predicts that the exponential of the zero locus of Bernstein-Sato ideals is the topological jumping loci of rank one local systems. In this talk, I will explain this beautiful phenomenon in detail and give a proof of (one of) Budur’s conjecture(s). This work is joint with Nero Budur, Robin Veer and Peng Zhou.
