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:我校研究生院
我校数学学院
欢迎感兴趣的师生参加!