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:mk体育官网院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.