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发表时间:2018-07-06 阅读次数:209次
报告题目: Modular Blowups and Modular Resolution of Singularities
报 告 人:Professor Yi Hu
报告人所在单位:University of Arizona
报告日期:2018-07-06 星期五
报告时间:16:00-17:00
报告地点:光华东主楼1501
  
报告摘要:

Resolution of singularities is one of the central and difficult problems in algebraic geometry. To date, most general approach to this problem is via algorithm in nature. In this talk, we will present a gentle discussion on resolution of singularities via possible geometric methods.  As it is known, many moduli spaces possess arbitrary singularities. In other words, singularities exist for certain geometric reason. Our idea is to modify the boundary of a given moduli by adding suitable additional objects, inducing natural modular blowups. This approach will be explained, using the moduli of quotients (i.e., Grothendieck's Quot schemes) and our new moduli of complete quotients. The topic on moduli of complete quotients is based upon a joint work with Baosen Wu.

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本年度学院报告总序号:174

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