Sinica-NCTS Geometry Seminar

主講者: 李玉田先生 (香港城市大學)
講題: Geometry and Heat Kernels for Grushin Operators
時間: 2010-06-11 (Fri.)  16:10 - 17:00
地點: 數學所 617 研討室 (台大院區)
Abstract: In this seminar talk, We will discuss the Carnot-Caratheodory (SubRiemmian) geodesic structure induced by the Grushin operators. Then we consider the construction of the heat kernels for the Grushin operators. The approach is a generalization of Beals-Gaveau-Greiner's Hamilton-Jacobi theory of step 2 operators to higher step cases. Heat kernel asymptotics and its connection to the CC geometry will also be discussed.
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