Event Type:

Department Colloquium

Date/Time:

Monday, April 22, 2019 - 16:00 to 16:50

Location:

KIDD 350

Event Link:

Guest Speaker:

Institution:

Western Oregon University

Abstract:

Category theory, arguably the most abstract branch of mathematics, is concerned with formalizing and classifying fundamental mathematical objects such as sets, functions, and algebraic structures. Typically, category theory is not encountered until graduate school, and even then it remains largely out of the spotlight, except in certain subdisciplines of algebra and topology. In this talk, I'll discuss how Yoneda's Lemma -- one of the most important results in category theory -- is connected to basic arithmetic properties that children learn in elementary school, and how we can use research and methods from mathematics education to deepen our own categorical understanding. No previous experience in category theory is needed.

Host: