l On the characteristic cycle of a constructible sheaf on a surface
Speaker
l Enlin Yang
Institute
l Tsinghua University
Date
l 2015-03-20 (Fri)
Time
l 15:30~16:30
Place
l E6-1 #2411
VodLink
l
Download
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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.