Non-Metrizable Universal Minimal Flows

Explore the intricacies of non-metrizable universal minimal flows in this 51-minute Association for Symbolic Logic Invited Address given by Dana Bartošová from the University of Florida at the Joint Mathematics Meetings. Delve into the fundamental concepts of flows, continuous actions, rotations, and minimal flows before progressing to more advanced topics such as local compact groups, Syn Groups, and the space of all ultrafilters. Examine the semigroup structure, minimum left ideals, and semigroup homomorphisms as the lecture builds towards a comprehensive understanding of universal minimum flows and minimal subflows. Engage with this in-depth mathematical exploration that challenges conventional perspectives and raises thought-provoking questions in the field of symbolic logic and topology.

Intro
What are flows
Continuous actions
Rotations
Minimal flows
Allover program
Local compact groups
Motivation
Syn Groups
Product of two groups
Space of all ultra filters
Projections
Investigations
Semigroup structure
Minimum left ideals
Semigroup homomorphism
Universal minimum flow
Minimal subflows
Questions