Preprint

1. (with Heng Xie) The connecting homomorphism for Hermitian \(K\)-theory, arxiv:2311.02318.

 In this work, we developed pushforwards and pullbacks in Hermitian \(K\)-theory using Grothendieck’s residue complexes, proving key results such as base change, projection, and excess intersection formulas. Additionally, we provided a geometric interpretation of the connecting homomorphism in the localization sequence. As an application, we computed the Hermitian \(K\)-theory of projective bundles and Grassmannians, presenting an explicit basis for Grassmannians indexed by even and buffalo-check Young diagrams.

Education

• M.S. | 2022-present | Sun Yat-sen University
  • Mathematics, School of Mathematics
  • Advisor: Heng Xie
• B.S. | 2018-2022 | Sun Yat-sen University
  • Mathematics and Applied Mathematics, School of Mathematics
  • Thesis: Vassiliev Complex with Local System and its application to Real Projective Space (advisor: Heng Xie).