科学研究
报告题目:

Local index theorem and analytic torsions

报告人:

朱家林 教授(重庆理工大学)

报告时间:

报告地点:

腾讯会议 ID:780 981 893

报告摘要:

The Atiyah-Singer index theorem shows that the topological and analytic indices of elliptic operators are equal. This theorem is a grand unification of three classical theorems: Gauss-Bonnet-Chern theorem, Hirzebruch signature theorem and Riemann-Roch-Hirzebruch theorem. We will introduce the heat kernel proof of the local index theorem. We also talk about the Ray-Singer analytic torsion, which is an important spectral invariant associated to Hodge-Laplacian.

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