报告人简介
Pedram Hekmati is an Associate Professor at the University of Auckland whose research lies at the intersection of geometry and mathematical physics, with a particular focus on constructing and computing invariants and exploring geometric dualities. His work spans areas including K-theory, index theory and low-dimensional topology, and he has contributed to both foundational theory and interdisciplinary connections between mathematics and physics. After completing his PhD at KTH in Stockholm and a research fellowship at MIT, he held postdoctoral positions at the University of Adelaide and at IMPA in Rio de Janeiro, before moving to the University of Auckland in 2017.
内容简介
spin^c Dirac 算子的 eta 不变量度量了该算子在零点附近的谱不对称性。在本报告中，我将讨论 Seifert 有理同调三维球面的 eta 不变量及其与 Floer 同调的关系。当 Seifert 基流形不可定向时，eta 不变量完全决定了该空间的 Floer 同伦型，并且可以通过将 Floer 理论应用于一个适当选择的配边来计算。
