数学科学学院学术报告[2023] 099号

(高水平大学建设系列报告871号)

系列报告题目:Hermitian K-theory and its applications

报告人：谢恒副教授（中山大学）

报告时间：2023年12月15日下午14：30-15：30

讲座地点：汇星楼514

报告内容：Hermitian K-theory has garnered attention for its applications in recent works. Roughly speaking, Hermitian K-theory can be thought of as a‘combination’of K-theory and Witt theory in view of the algebraic Bott sequence. Asok and Fasel utilized Hermitian K-theory as a tool to give a cohomological classification of vector bundles of rank 2 on a smooth affine threefold, and they also made progress on Murthy’s conjecture. Fasel and Srinivas showed that a vector bundle V of rank 3 over a smooth affine threefold splits off a trivial direct summand if and only if its Euler class e(V) in Hermitian K-theory is zero. In 2014, we showed that a numerical condition by Atiyah on Hurwitz’s 1898 problem can be generalized from the field of real numbers to any field by computing Hermitian K-theory of deleted quadrics. In this talk, I will talk about our recent developments in Hermitian K-theory, including Hermitian K-theory of Grassmannians. This is a joint work with Tao Huang.

报告人简介：谢恒，2015年获英国华威大学博士学位，现任中山大学副教授，主要从事K理论与代数几何的理论研究。在代数簇的Witt群和Chow-Witt群的理论和应用的研究中取得一系列进展，成果发表在Advances in Mathematics、Proceedings of the London Mathematical Society、Documenta Mathematica等著名期刊杂志。欢迎师生参加！

数学科学学院

2023年12月11日