学术报告
Finiteness theorems and cycle class maps for zero-cycles over local fields (after S. Saito, K. Sato, M. Kerz, H. Esnault, O. Wittenberg et al)-胡勇教授（南方科技大学）
《数论与代数几何》讨论班
报告人：胡勇教授（南方科技大学）
题目：Finiteness theorems and cycle class maps for zero-cycles over local fields (after S. Saito, K. Sato, M. Kerz, H. Esnault, O. Wittenberg et al)
摘要：Let X be a smooth projective variety over a complete discrete valuation field K, and let A_0(X) be its Chow groups of zero-cycles of degree 0. This talk will be a survey on recent works on the structure of A_0(X), especially finiteness theorems, by S. Saito, K. Sato, M. Kerz, H. Esnault, O. Wittenberg et al. I will mainly focus on the case where K is a p-adic field, for which Saito and Sato proved a conjecture of Colliot-Thelene by using a cycle class map defined over regular models of X. Time permitting, the more general case where K has a perfect residue field will also be sketched.
时间：8月9日，4:30-5:30
地点：首师大校本部新教二楼727教室
