数学科学学院学术报告[2024] 006号

(高水平大学建设系列报告886号)

报告题目: Linear subspaces of the intersection of two quadrics via Kuznetsov component

报告人：李彦杰

报告时间：2024年1月25日下午16:00-16:50

讲座地点：汇文楼1420

报告内容：We associate the linear subspaces in the intersection of two 2g dimensional quadrics with the vector bundles on the hyperelliptic curve of genus g via the projection functor to Kuznetsov component. As an application, we give a different proof of the classification of line bundles and stable bundles of rank 2 on hyperelliptic curves given by Desale and Ramanan. When g=3, we also show there's an embedding from the intersection of two quadrics to the moduli space of stable rank 4 bundles. This is a joint work with Shizhuo Zhang.

报告人简介：李彦杰为中山大学大四本科生，在本科阶段已经在代数几何方向取得两项优秀科研成果，即将前往中国科学院数学与系统科学研究院攻读博士学位。

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数学科学学院

2023年01月25日