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学术报告

数论与代数几何讨论班:Higher K-theory and deformation of Chow groups

  题目:Higher K-theory and deformation of Chow groups

  报告人:杨森 博士(清华大学数学科学中心)

  摘要: In this talk, I will report recent results on deformation theory of Chow groups, mainly due to Green-Griffiths, Bloch-Esnault-Kerz and myself. The focus will be variational Hodge conjecture and its variants. In particular, using higher K-theory, I will explain how to answer the following questions posed by Green and Griffiths:

  1) How to define tangent space to algebraic cycles in general?

  2) Obstruction issues (V.S. Hilbert scheme)

  3) Extend Bloch's formula and its variant (due to Soule) to infinitesimal NBHD.

  时间:10月21日(周三)下午16:00-17:00

  地点:首都师范大学北二区教学楼 513教室

  欢迎全体师生积极参加!