11-10【万学远】Signature for flat unitary bundles over surfaces with boundary

发布时间:2023-10-23来源:几何与物理研究中心中文网页浏览次数:75

报告人:万学远(重庆理工大学)

时间:2023年11月10日14:00-15:00    

地点: 中科大上海研究院2号楼414



This talk explores representations of the fundamental groups of compact surfaces with boundaries into Hermitian type Lie groups. We compare the signature of associated local systems to the Toledo invariant extending the rho invariant to discontinuous class functions, first on U(p,q), then on other groups through U(p,q) embeddings. We unify three invariants - signature.Toledo, and rho - in the style of Atiyah-Patodi-Singer's signature formula for boundary manifolds. This is joint work with Professors Inkang Kim and Pierre Pansu.