报告时间：2021年03月30日, 北京时间14: 00-15：00

报告平台：腾讯会议：993-984-159                                                           报告人：蒋报捷(重庆大学博士后)

摘要：Sylvester rank functions for a given unital ring $R$ are numerical invariants for matrices or modules over $R$, describing the rank or dimension of such objects.

Let $R\subset S$ be two rings and let $\mathrm{rk}$ be a Sylvester matrix function on $R$. 

In this talk we consider the following questions:

When is it possible to extend $\mathrm{rk}$ to a Sylvester matrix rank function on $S$?

If there are several extensions, can we define a natural one?

We will focus on the case of crossed product by an amenable group, and the tensor product with a field extension.

This is based on joint work with Prof. Hanfeng Li.

邀请人：梁兵兵