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中科院数学与系统科学研究院

数学研究所

华罗庚数学重点实验室

 

华罗庚青年数学论坛综合报告

 

报告人Prof. Shu Shen(巴黎六大)

 Analytic torsion and dynamical systems

  2018.07.09(星期一),10:30-11:30

  点:数学院南楼N913

 :The relation between the spectrum of the Laplacian and the dynamical flow on a closed Riemannian manifold is one of the central themes in differential geometry. Fried conjectured that the analytic torsion, which is an alternating product of regularized determinants of the Hodge Laplacians, equals the zero value of the dynamical zeta function of Ruelle. We will discuss this conjecture in the case of  flows including the geodesic flow, the Anosov flow, and the Morse-Smale flow.

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