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.
Attachment: