Overview
The course covers the topic of "Groups with bounded geometry" and includes discussions on geometric groups, properties, topology, transformation groups, uniform spaces, course spaces, uniform structures, topological structures, group of homeomorphisms, cocompactness, cocompactity, group structure, local compactification, Cormovs Theorem, and Polish Groups. The learning outcomes include understanding the concepts related to groups with bounded geometry and their applications. The course teaches skills in analyzing group structures and properties. The teaching method involves lectures and theoretical discussions. The intended audience for this course is individuals interested in advanced topics in mathematics, particularly in group theory and geometric group theory.
Syllabus
Introduction
Geometric Groups
Example
Properties
Topology
Transformation Groups
Uniform Spaces
Course Spaces
Uniform Structures
Topological Structures
Group of Homeomorphisms
Cocompactness
Cocompactity
Group structure
Local compactification
Cormovs Theorem
Polish Groups
Taught by
Joint Mathematics Meetings