On the characteristic cycle of a constructible sheaf on a surface (II)

Dr. Haoyu Hu
2015-04-01 14:30-16:30
610

题目:On the characteristic cycle of a constructible sheaf on a surface (II)

 

报告人:胡昊宇(南开大学与巴黎十一大)

 

时间:330日,41日下午230-430

 

地点:晨兴610

 

摘要: In these two talks, we continue the discussion on T. Saito’s recent work on characteristic cycles for l-adic sheaves. In this work, he constructed the characteristic cycle of a constructible sheaf on a surface in the cotangent bundle using Radon transform and the ramification theory. To give a Milnor type formula that expresses the total dimension of the nearby cycle of the sheaf as the intersection of the characteristic cycle and a section, a deformation method is  needed. In this lecture,  we briefly recall the Radon transform and the construction of characteristic cycles, and then, we focus on the usage of the deformation method.