The Department of Mathematics and Statistics invites students, faculty and staff to attend a talk given by Dr. Basil Nanayakkara on Thursday, February 16th, 2023 from 2:30 pm to 3:30 pm in Mackenzie Chown D-block room 303. The talk is entitled Category Theory — Yoneda’s lemma.
We will discuss the notions of category theory (representable functors, natural transformations, functor of points, etc.) until such time that we can state Yoneda’s lemma. Then we will state and prove the lemma. In algebraic geometry, the lemma is mostly used in its contravariant form. As such, we will state and prove the contravariant form of the lemma. The lemma can be used to embed the category of schemes over a field k, in the category of functors (k-algebras) to (sets). This embedding may be a stepping stone to solve some of the open problems in algebraic geometry.