The notion of an algebraic theory provides a basis-free way of discussing algebraic structures such as monoids, groups, and commutative rings. In addition, an algebraic theory can be used to describe an algebraic structure on a topological space. This talk will include some (very basic) category theory background, the definition of algebraic theories, and examples illustrating how they provide a concise way of expressing algebraic structures. In particular, I will discuss the ways in which algebraic theories and a generalization of them have been a useful tool in my research.
To volunteer to give a talk, or for any other questions regarding this schedule, contact Sara Miller