研讨班报告

代数几何研讨班

发布时间:2024-10-16

 

 中国科学院数学与系统科学研究院

数学研究所

学术报告

代数几何研讨班

 

Speaker: 杜荣 教授 (华东师范大学)

Title: On the dimension of spaces of linear transformations with constant rank and uniform vector bundles

Time&Venue: 20241023日(周三) 1330-1430 思源楼 817

Abstract: I will talk about the relation between the dimension of spaces of linear transformations with constant rank and uniform vector bundles on projective spaces.

Some conjectures and partial results will also be discussed on this object. This talk is from a joint work with Yuhang Zhou.

 

Speaker: 张通 教授 (华东师范大学)

Time&Venue: 20241023日(周三) 1500-1600 思源楼 817

Title: Moduli spaces of threefolds on the Noether line

Abstract: I will talk about the classification of canonical threefolds on the Noether line by describing their moduli spaces, which includes an explicit stratification, an estimate of the number of irreducible components and the dimension formula for every such moduli space. I will also discuss the key idea behind the proof, which is to relate canonical threefolds on the Noether line to simple fibrations in (1,2)-surfaces. This is a joint work with S. Coughlan, Y. Hu and R. Pignatelli.


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