Monadicity Theorem and Weighted Projective Lines of Tubular Type

陈健敏
2015-06-09 14:30-16:30
410

大家好,

 

下周我们晨兴讨论班临时改在星期二下午,具体安排如下:

报告人:陈健敏(厦门大学)

时间:201569日下午:14:30-16:30

地点:中科院晨兴数学中心 410 教室

报告题目Monadicity Theorem and Weighted Projective Lines of Tubular Type

摘要:We formulate a version of Beck's monadicity theorem for abelian categories, which is applied to the equivariantization of an abelian category with respect to a finite group action. We prove that the equivariantization is compatible with the construction of quotient abelian categories by Serre subcategories. We prove that the equivariantization of the graded module category over a graded ring is equivalent to the graded module category over the same ring but with a different grading. We deduce from these results two equivalences between the category of (equivariant) coherent sheaves on a weighted projective line of tubular type and that on an elliptic curve, where the acting groups are cyclic and the two equivalences are adjoint to each other. This is joint with Xiao-Wu Chen and Zhenqiang Zhou.