湖南代数与算术几何研讨会
一、 日程安排
日期 时间 |
12.3 |
9:30-10:30 |
刘诗南 (中科院) |
10:45-11:45 |
梁永祺 (中国科学技术大学) |
14:30-15:30 |
金方舟 (同济大学) |
15:45-16:45 |
阳恩林 (北京大学) |
二、会务信息
主办单位：湖南大学数学学院
会议联系人：孙鹏，李木林，张浩
资助项目：国家重点研发计划（项目号：2021YFA1001400 ）
腾讯会议：724 380 653
密码：无
三、报告信息
金方舟(同济大学)
题目: Milnor-Witt cycle modules and perverse homotopy heart
摘要：We define Milnor-Witt cycle modules over a base scheme and study the relations with the perverse homotopy t-structure. This is a joint work with F. Déglise and N. Feld.
梁永祺(中国科学技术大学)
题目: 奇亏格超椭圆曲线的局部整体原则
摘要：Skorobogatov和Scharaschkin等人猜测Brauer-Manin障碍是定义在数域上的射影光滑曲线上的有理点不满足局部整体原则的唯一障碍。对于任意数域和任意给定奇自然数g，我们具体构造出无穷条亏格为g的由Brauer-Manin障碍解释的局部整体原则失效的曲线。我们的结论为上述猜想给出了具体的例证。这是我指导的博士生黄凯最近的工作。
刘诗南(中科院)
题目: On the p-adic period torsor in equal characteristics
摘要: Following Wintenberger, we calculate in equal characteristic case the p-adic period torsor over a Rapoport-Zink period domain. As an application we determine the image of the corresponding period morphism. Joint in progress with E.Viehmann.
阳恩林(北京大学)
题目: Cohomological conductor formula for constructible sheaves
摘要: In this talk, we will sketch the construction of non-acyclicity classes for constructible sheaves on (not necessarily smooth) varieties, which is defined in a recent joint work with Yigeng Zhao. This cohomological class is supported on the non-locally acyclic locus. As applications, we show that the Milnor formula and Bloch’s conductor formula can be reformulated in terms of the functorial properties of non-acyclicity classes.
