Lecture----数学院晨兴数学中心

Title:	Monadicity Theorem and Weighted Projective Lines of Tubular Type
Speaker:	陈健敏 (厦门大学)
Time:	2015-6-9, 14:30-16:30
Place:	410
Abstract:	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.
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