Speaker：Zhiguo Liu（East China Normal University）

Time：2022-09-22, 14:30

Location：Tencent Meeting ID：947-841-4036（Password：260172）

Abstract:

Parameterization in mathematics is one of the most basic mathematical idea and method that have important applications. Parameterization can enable us to embed some isolated  mathematical objects into a well structured mathematical system, and then find the key to solving mathematical problems.  Parameterization can lead to important mathematical discoveries. Historically, parameterization has led to several important mathematical theories.  Parameterization is not simply adding parameters to some mathematical objects at will. To find a good parameterization, we need to follow some basic principles. In this report, I will take the sum of powers of natural numbers, Jacobi's triple infinite product formula and the homogeneous Rogers-Szego polynomials as prototypes to explain some basic ideas and methods of parameterization.