Cohomology enhanced: an application of enriched and higher categories

受物理学家、计算机科学家和 在其他类似领域的同行中，数学家们研究得很高 通常难以理解的复杂结构 完全是具体的。上同源性是一项无价的技术 允许从这些复杂结构中提取数据的工具。 这个项目将涉及到金额范围的根本扩大 以及如此提取的数据的类型。这是由大多数人实现的 高维范畴理论的最新进展。

Motivated by the needs of physicists, computer scientists, and colleagues in other similar fields, mathematicians study highly complicated structures which are typically hard to understand completely in concrete terms. Cohomology is an invaluable technical tool which allows data to be extracted from these complex structures. This project will involve a radical expansion in scope of the amount and type of data so extracted. This is made possible by the most recent advances in higher-dimensional category theory.