Grad Student Colloquium

Thomas Bray, University of Waterloo

To b or Not to b: The Art of Generalizing Metric Spaces

Metric spaces form the foundation of many areas in mathematics, offering a rigorous framework for understanding distance and convergence. But what happens when we relax the triangle inequality? Enter b-metric spaces, where the triangle inequality is replaced by a more flexible inequality scaled by a constant. In this talk, we will explore how this generalization leads to surprising results and broadens the scope of classical fixed-point theory, topology, and functional analysis. Join me as we delve into the rich structure of b-metric spaces and uncover their role in contemporary mathematical research.

Snacks will be available from 4:30pm

MC 5417