学术活动

学术活动

Construction of Tate cycles on certain unitary Shimura varieties

主讲人:田一超 研究员(中科院数学与系统科学研究院)

时  间:2014年4月9日(周三)10:30-11:30

地  点:必赢76net线路官网北二区教学楼 514 教室

摘  要: Let F be a real quadratic extension, and E be a CM extension of F. We fix a prime p unramified in F and split in E. Consider a Shimura variety associated to a unitary group over F of type G(U(1,n-1) * U(n-1,1)) of hyperspecial level at p, and denote by X its special fiber in characteristic p. In this talk, I will explain how to construct n series of algebraic cycles on X, and we will show that these cycles give rise to almost Tate cycles in the generic case. This is a joint work with Liang Xiao and David Helm.

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