中国科学院数学与系统科学研究院
数学研究所
数学科学全国重点实验室
拓扑研讨班
Speaker: 李元初（National University of Singapore）
Inviter: 黄瑞芝
Language: Chinese
Title: Field Theories, Generalized Cohomology, and Twists
Time & Venue: 2026年10月12日（星期一）14:30-15:30 南楼N820
Abstract: In this talk, I will discuss some basic examples of the relation between supersymmetric field theories and generalized cohomology from the perspective of the Stolz-Teichner program. We will see how 0|1-dimensional supersymmetric field theories are related to differential forms, how 1|1-dimensional theories are related to K-theory, and why one expects a relation between 2|1-dimensional field theories and topological modular forms. I will then turn to relative field theories and anomalies, and discuss their relation to bundle gerbes and twisted K-theory.
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Title: Invertible Field Theories, Anderson Duality, and Anomalies
Time & Venue: 2026年10月19日（星期一）14:30-15:30 南楼N820
Abstract: In this talk, I will discuss the relation between invertible field theories, bordism, and Anderson duality, following Freed and Hopkins. I will explain how Anderson duals of bordism spectra appear in the classification of invertible field theories. I will then describe joint work with Fei Han on a differential twisted anomaly map from differential twisted K-theory to the differential Anderson dual of twisted Spinᶜ-bordism.
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