报告时间：2021年1月14日 14:00-16:00 

报告地点：（腾讯会议）会议 ID：554766898  

报告人：胡昊宇 教授 (南京大学)


报告摘要：

   In 1980s, Deligne and Laumon proved a lower semi-continuity property for Swan conductors of l-adic sheaves on relative curves. In 2007, André proved semi-continuity properties for irregularities and Poincaré-Katz ranks for algebraic D-modules on relative curves, respectively. The theory of algebraic D-modules shares many similarities with that of l-adic sheaves. The irregularity is an analogue the Swan conductor and the Poincaré-Katz rank is an analogue of the highest ramification slope (i.e., called the conductor). In this talk, we will discuss the missing picture of Deligne and Laumon’s semi-continuity property for conductors of l-adic sheaves on relative curves in the geometric setting. The main ingredient behind is a description of Abbes-Saito’s ramification filtrations in terms of restricting to curves.


邀请人：顾怡