HOẠT ĐỘNG TRONG TUẦN

On motivic cohomology of singular local k-schemes
Người báo cáo: Jinhyun Park (KAIST, Korea)

Thời gian: 9h, Thứ 4, Ngày 2/1/2019.
Địa điểm: Phòng 612 Tòa A6 Viện Toán học
Tóm tắt: By a motivic cohomology theory of schemes, we mean/want a cohomology theory of schemes that contain both the geometric and the arithmetic information of schemes, with certain universal properties, constructed out of algebraic cycles. For smooth k-schemes, it was proven by V. Voevodsky that higher Chow groups of S. Bloch provide a model for motivic cohomology.

For singular schemes, from the work of Bloch-Esnault around 2000s, various people tried to understand the conjectural motivic cohomology of some of them. In this talk, we give a sketch of a new algebraic cycle model of a particular class of singular k-schemes, and give some consequences of it. This is based on an on-going joint work with Sinan Ünver.

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