首师大数论组讨论班

[SHUN TANG]

诸位好，本学期第二次数论与代数几何讨论班将于下周举行：
 
时间：2014年10月31日 周五 下午16：00--17：00
地点：首都师范大学北二区教学楼514教室（此校区在西三环紫竹桥南首师大北一区的街对面）
 
报告人：阳恩林  博士 (清华大学数学科学系)

题目：Logarithmic version of the Milnor formula and the characteristic cycle of a tamely ramified sheaf

摘要： In SGA 7, Deligne proved a formula for the total dimension of the space of vanishing cycles at an isolated singularity of a morphism from a smooth variety to a smooth curve over an algebraically closed field of characteristic $p>0$. As a logarithmic variant of this formula, we prove an analogous formula for vanishing cycles with a coefficient sheaf tamely ramified along a divisor with normal crossings. This implies that the characteristic cycle of a tamely ramified sheaf satisfies a Milnor formula.

 

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祝好！

 

唐舜

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Shun TANG

School of Mathematical Sciences
Capital Normal University
No. 105, West 3rd Ring North Road
100048, Beijing
P. R. China