杨森:Higher algebraic K-theory and Tangent Spaces of Chow Groups

2013-03-29 来源:数学科学研究中心

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活动类型:学术报告

主讲人:杨森

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Title: Higher algebraic K-theory and Tangent Spaces of Chow Groups

 

Speaker: Yang Sen

 

Abstract: Around 2000, Green-Griffiths initiated the study of geometric tangent spaces of Chow groups. One goal of this program is to approach Beilinson-Bloch filtration infinitesimally. Guided by geometry, they posed a list of related questions on their Annals study book-157.

I will present an answer to one of their questions, which says the tangent sequence of Bloch-Gersten-Quillen sequence is Cousin resolution, by using higher K-theory. I will also use K3 and Calabi-Yau 3-fold to explain two new features: appearance of negative K-groups and the necessary use of Adams operations. Joint work with J. W. Hoffman and M. Schlichting together with B. Dribus.

It is my great pleasure to give this talk in the  Center of Mathematical Science, where I was a graduate student from 2006 to 2008

 

Time: 2013.3.29 (Friday) 1000 am

 

PlaceCMS 202