Chow groups of quadrics
- A+
：Dr. Hu Yong
：2020-12-14 10:00
：实验楼105 (线下)
Speaker：Dr. Hu Yong
Southern University of Science and Technology
Title: Chow groups of quadrics
Time：14th, Dec., 2020, 10:00
Location：实验楼105 (线下)
Abstract:
In the 1990's, Karpenko made a systematic study of Chow groups of smooth projective quadrics in characteristic different from 2, by using Swan's work on the K-theory of quadrics. His results have soon found important applications in computation of unramified cohomology of quadrics, and have played a key role in Izhboldin's remarkable theorem that the u-invariant of a field can be 9. This talk is a survey of these results, as well as some key ingredients in the proofs. If time permits, I will talk about some recent observations in the characteristic 2 case, in a joint work with Ahmed Laghribi and Peng Sun.
Speaker Introduction：
胡勇，南方科技大学数学系助理教授。2012年博士毕业于法国巴黎第十一大学，曾在德国杜伊斯堡-埃森(Duisburg-Essen)大学数学系从事 1 年博士后工作，在法国诺曼底卡昂(Caen Normandie)大学数学系担任过 4 年副教授(Maitre de conference)。胡勇的研究领域是算术几何，研究内容涉及齐次空间有理点、二次型和域的算术、代数群的 Galois 上同调等。研究成果发表在《Int. Math. Res. Not.》、《Algebra Number Theory》、《Math. Ann.》和《J. Algebra》等多个国际知名学术期刊上。
联系人：祝辉林
