Speaker：Dr. Yong Hu

          Southern University of Science and Technology

Title: Chow groups of quadrics

Time：14th, Dec., 2020, 10:00

Location：Conference Room 105 at Experiment Building at Haiyun Campus

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.