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Introduction to fixed point theory

2017-09-18
 

Academic Lectures

Reporter: Prof. Zhao Xuezhi (School of Mathematical Sciences, Capital Normal University)

Title: Introduction to fixed point theory

Abstract: We will introduce the classic research direction of the algebraic topology: fixed point theory. We will study fixed point class, indicators, homotopy and other basic concepts. For low-dimensional manifold, especially the fixed point theory on the surface, we introduce the tools and methods commonly used in the theory, and explain the relationship between it and the low - dimensional topology.

 

Lecture 1

Title: Basic concepts of fixed point theory

Time: September 18, 2017(Monday) PM 15:30-5:10

Location: A#1101 room, Innovation Park Building

 

Lecture 2

Title: Fixed point theory on the surface

Time: September 19, 2017(Tuesday) PM 13:30-15:10

Location: A#1101 room, Innovation Park Building

 

Lecture 3

Title: Algebraization and formalization of fixed point classes

Time: September 20, 2017(Wednesday) AM 8:00-9:40

Location: A#1138 room, Innovation Park Building

 

Lecture 4

Title: Invariant calculation

Time: September 25, 2017(Monday) PM 15:30-17:10

Location: A#1101 room, Innovation Park Building

 

Lecture 5

Title: Periodic points

Time: September 26, 2017(Tuesday) PM 13:30-15:10

Location: A#1101 room, Innovation Park Building

 

Lecture 6

Title: Fixed point theory and braid

Time: September 27, 2017(Wednesday) AM 8:00-9:40

Location: A#1138 room, Innovation Park Building

 

The brief introduction to the reporter: Zhao Xuezhi is a professor and doctoral supervisor of School of Mathematics Sciences, Capital Normal University. He graduated and received a doctorate in science from School of Mathematical Sciences, Peking University in 1998. He engages in topological fixed point theory and low-dimensional topology, has published many papers on core journals and has been invited to participate in international academic conferences of relevant areas.