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Deformation of exceptional collections
作者:    时间:2018-05-12 浏览次数:

  

报告人:胡晓文博士,中山大学数学院专职研究员,研究兴趣为代数几何相关课题,相关文章发表在Adv. Math, IMRN等数学杂志。

报告地点:数学与统计学院院501

报告时间:2018年5月13日 9:30-10:30

摘要:We show that in a smooth family of Fano or anti-Fano projective varieties, the existence of full exceptional collection of a fiber preserves in the fibers in a neighborhood. Then we show that the noncommutative deformations of a strong exceptional collection of vector bundles induce the same map on the second Hochschild cohomology as the canonical isomorphism induced by the derived equivalence to the corresponding endomorphism algebra.