Univalent Foundations is a framework in mathematics that aims to provide a new basis for the foundations of mathematics using ideas from homotopy theory. It emphasizes the importance of equivalence between mathematical structures, suggesting that two structures can be considered the same if there is a way to transform one into the other without losing essential properties. This approach is closely associated with the work of Vladimir Voevodsky, who introduced the concept of univalence. The univalence axiom states that equivalent structures can be treated as identical, which allows for a more flexible and intuitive understanding of mathematical objects and their relationships.