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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