数论及表示论 | Scrollar syzygy and representation theory

题目: Scrollar syzygy and representation theory

报告人：赵永强（西湖大学）

时间：2019年12月9日（星期一）下午4:00

地点：逸夫工商楼200-9

摘要：The theory of scrollar syzygy resolution was introduced by Schreyer on his work for Green's conjecture for canonical curves. Besides its applications for syzygy theory, it is also closely related to the parametrization theory of curves of small gonality and has important applications in theory of Hurwitz spaces. A priori, it has nothing to do with representation theory. In this talk, however, we will discuss some recent observations on its relations between Galois representation theory. We will give a (conjectural) complete description of all syzygy bundles through representation theory. This is a joint work with Wouter Castryck.

报告人简介：赵永强博士，西湖大学理学院特聘研究员，博士毕业于威斯康星大学麦迪逊分校。 主要研究方向为算术几何与数论，近期工作集中在代数曲线的syzygy resolution 方面。

联系人：刘东文（maliu@zju.edu.cn)