研究生教育创新计划高水平学术前沿讲座【申述】

发布者:系统管理员发布时间:2014-08-20浏览次数:27

题目:The hypoelliptic Laplacian and analytic torsion


报告人:申述博士(科大03级校友)
        巴黎南大学


时间:2014.8.23 上午10:00--11:30

地点:管理楼1208

摘要:  The hypoelliptic Laplacian in de Rham theory, constructed by
Bismut, is a deformation of Hodge Laplacian. In this talk, we recall the
constructions of this hypoelliptic Laplacian and of the hypoelliptic
Ray-Signer torsion. We describe a Witten-like deformation of this operator
and we obtain a formula, which compares the hypoelliptic Ray-Singer metric
and the Milnor metric. This is a hypoelliptic version of Cheeger-Muller
Bismut-Zhang theorem. In particular, we get a new proof of the equality
between the elliptic and the hypoellptic Ray-Singer metrics, which was
proved by Bismut and Lebeau.


主办单位:中国科学技术大学研究生院
          中国科学技术大学数学学院

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