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.
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。
