Title: Four precious jewels in graph theory and combinatorics.

Speaker: Professor Peter Cameron (St. Andrew University, UK)

Venue: 200-9, Sir Run Run Shaw Business Building

Time: Lectures 1-2, 9:30-11:30, Aug 6, Tuesday, 2019

Lectures 3-4, 9:30-11:30, Aug 7, Wednesday, 2019

Abstract:

In the course of these lectures, I will speak about four remarkable objects:

1. the Erdos�R ˝ enyi ′ random graph, aka the Rado graph;

2. the rational numbers (as ordered set);

3. the Urysohn metric space;

4. the pseudo-arc.

Although these objects are four individuals, there are various general theories that connect them, and I will speak about some of these:

A. countably categorical structures;

B. homogeneous structures and Fraısse’s Theorem ′ ;

C. Ramsey classes and extreme amenability;

D. inverse limits and the dual of Fraısse’s Theorem .

联系人： 冯涛 研究员（tfeng@zju.edu.cn）