Morningside Center of Mathematics
Chinese Academy of Sciences
Morningside Center of Mathematics
Chinese Academy of Sciences
Title: | On the characteristic cycle of a constructible sheaf on a surface |
Speaker: | 阳恩林 (清华大学) |
Time: | 2015-1-8, 10:00—11:00 |
Place: | 晨兴610 |
Abstract: | This is a talk on T. Saito’s recent work. For a sheaf on a surface, Deligne and Laumon defined the characteristic cycle implicitly using the total dimension of the nearby cycles under the “non-fierce” assumption. In general, T. Saito defined the characteristic cycle of a sheaf on a surface by combining the approach using the Radon transform and the non-logarithmic version of ramification theory developed by Abbes and Saito. In this talk, under the stability of nearby cycles and the existence of singular supports on a surface, we show how to construct characteristic cycle using Radon transform. |
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